4. What is the equation of the line?​

4. What Is The Equation Of The Line?

Answers

Answer 1

Answer:   y= -1/2x + 1  

Step-by-step explanation:

The equation will be represented in slope intercept form because the line is not going through the origin.

Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.

The points  (0,1)  and (2,0)  will be used to find the slope because it is on the line.

The slope will be the difference between the  y coordinates divided by the difference of the x coordinates.  

1- 0 = 1

0 - 3 = -2

Slope:  -1/2  

The equation will be  y= -1/2x + 1


Related Questions

A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?

Answers

Answer: 30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

PLEASE HELP WORTH 40 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!! PLEASE HELP
1. Refer to the equation 3x − 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair and validated the points were on the line.

Answers

Answer:

x = 1 ⇔ y = -2.4

x = 2 ⇔ y = -1.8

x = 3 ⇔ y = -1.2

x = 4 ⇔ y = -0.6

Step-by-step explanation:

[tex]3x-5y=15[/tex]

→ Rearrange to make y the subject

[tex]-5y=-3x+15[/tex]

→ Multiply everything by -1

[tex]5y=3x-15[/tex]

→ Divide everything by 5

[tex]y=0.6x-3[/tex]

⇒ Substitute x = 1, 2, 3 and 4

[tex]y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)[/tex]

[tex]y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)[/tex]

[tex]y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)[/tex]

[tex]y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)[/tex]

What is the y intercept of the line in the graph shown?

The equation of the line is y=__x__

!! QUICK WILL MARK BRAINLIEST !!

Answers

Y=1x -2, the y intercept is -2
y=x-2

the slope is 1, it goes up and to the right by 1 unit, and the y intercept is -2.

With the money she had saved by working, Jennifer wanted ​

Answers

Answer:a car

Step-by-step explanation:

An item has a listed price of $80. If the sales tax rate is 8%, how much is the sales tax (in dollars)?

Answers

Answer:

$6.40

Step-by-step explanation:

u have to multiply 80 by 0.08 (tax percent in decimal form)

Answer:

$6.4

Step-by-step explanation:

all you have to do is find 8% of 80 by doing 8x8, which equals 64, then dividing by 10. That gives you 6.4. Then check it on a calculator to make sure you did it correctly

How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

7 x7 dived by 5 plz helppppvme

Answers

Answer:

Step 1) 7*7 = 49

Step 2)  49/5 = 9.8

Answer:

Step-by-step explanation:

7x7=49, 49 divided by 5=9.8, hope I helped! :P

What are the domain and range of f (x)= -27

Answers

Answer:

Domain: (-∞,∞)

Range: {−27}

5 2/5 is ___ 3 1/2, is it greater than or less than

Answers

Answer:

5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2

Step-by-step explanation:

Answer:

I believe that 5 2/5 is greater than 3 1/2

The expression 34−10+3+2=78 is an example of

Answers

Answer: simplifying expression

Step-by-step explanation:

A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not
defective?

Answers

Answer:

ur nan

Step-by-step explanation:

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10

Answers

Answer:

C

Step-by-step explanation:

Commutative property means to add in a different order.

SOMEONE PLEASE PLEASE HELP!!!!​

Answers

Answer:

49[tex]\sqrt{21}[/tex]

Step-by-step explanation:

You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well

Answer: 49 √3 or 84.87049

Step-by-step explanation:

45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu

Answers

Answer:

20%

Step-by-step explanation:

[tex]percent change = \frac{difference}{original value} * 100[/tex]

[tex]= \frac{100}{500} * 100\\= 20[/tex]

Hey now please just anser if itnus a try i will still give 5 stars. THE Question is what is the most easy way to SOLVE THE NINES TABLE IK THIS BUT I WANT to see who else knows sorry fir the big ketters i did not means to put that​

Answers

Answer:

Tbh, I think the easiest way is to count on your fingers. I still do it, however I can now do my chart tables to 17x17 by using fingers. People may tease, however, it is a good way to make sure you do not mess up as much as memorizing. You should memorize, and count on your fingers at the same time to solve extremely fast.

Step-by-step explanation:

9x4

You can pretend that your thumb equals nine, and count 9 plus 9 plus 9 plus 9, with each other finger, such as your ring finger, pointer, middle, and pinky , which equals 36. 5x9, you have five fingers on each hand, so each finger can equal nine (I don't care if people say that your thumb isn't a finger, just take it and move on lol).

choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4​

y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7

Answers

Answer:

y = 4x +11

Step-by-step explanation:

[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]

Substitute values into point slope form

[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]

Collect like terms and simplify

[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]

Answer:

y=4x + 11

Step-by-step explanation:

y = mx + b

y = 4x + b

-1= 4(-3) + b

b= 11

y= 4x + 11

Find the cost price. selling price 6097 loss percent=9%​

Answers

Answer:

6645.73

Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73

6645.73 I think................

To show that the triangles are congruent, triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZY
a rotation of 180° clockwise about the origin followed by a dilation of 1.2 with the center of dilation at the origin
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
a rotation of 270° clockwise about the origin followed by translations left 1 unit and up 10 units
a reflection over the x-axis followed by a reflection over the y-axis

Answers

Answer:

a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units

Step-by-step explanation:

Rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

We have to show that  triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZ.

Rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

So if triangle ABC is rotated about 90 degrees clockwise about the origin followed by translated down 1 unit and left 10 units we get XYZ.

Hence,  rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Which measure is equivalent to 126 in.?



1 ft = 12 in.

1 yd = 3 ft

Answers

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.


Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total

Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.

Answers

Answer:

dont know..................

can someone help me i don’t get this at all !!!! OLEASEEE

Answers

Answer:

A

Step-by-step explanation:

not enough info

Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let

x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise

Required:
Using the decision variables x4 and s4, write a constraint that sets next week.

Answers

Answer:

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Step-by-step explanation:

The cost for the four cylinder production line is  [tex]C_4 =  \$2,100[/tex]

The cost for the six cylinder production line is  [tex]C_6 = \$3,500[/tex]

The manufacturing cost for each four cylinder is  [tex]M_4= \$13[/tex]

 The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]

  The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]

   The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep​

Answers

Answer:

Sandeep would be 15 years old.

Step-by-step explanation:

If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.

20/4 = 5

So that means Sandeep’s age would be 5 x 3

5 x 3 = 15

20:15 simplified is 4:3

HELP ME PLEASE IM ALMOST TO 100

Answers

Answer:

= 3/4

Step-by-step explanation:

Find 2 points on the graph

(2,3) and (6,6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 6-3)/(6-2)

   = 3/4

What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)

Answers

Dividing both into this (15 x 32) below.

15=10+5

32=30+2 and both of the equations will give you the result of 4 partial products.

10x30=300

5x30=150

10x2=20

 5x2=10

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

ok what u need help with

Step-by-step explanation:

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.

Answers

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

Factorise 6x squares minus 14x

Answers

This can be done by find its roots. Knowing its roots, you'll be able to factor your equation, as follows:
First, let's solve this using Bhaskara:

14
±

14
2

4
(
6
)
(

12
)
2

6


14
±
22
12
Roots:
x
=

3
, which is the same as the factor
x
+
3
=
0

x
=
2
3
, which is the same as the factor
3
x

2
=
0
Using these factors, we can rewrite the original function:
6
x
2
+
14
x

12
=
2
(
3
x
2
+
7
x

6
)
=
2
(
x
+
3
)
(
3
x

2
)
ANSWER: Factor
2
x
2
x
out of
6
x
2
6
x
2
.
2
x
(
3
x
)
+
14
x
2
x
(
3
x
)
+
14
x
Factor
2
x
2
x
out of
14
x
14
x
.
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
Factor
2
x
2
x
out of
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
.
2
x
(
3
x
+
7
)

what is the constant in 15-8y​

Answers

Answer:

15

Step-by-step explanation:

15 doesn’t have variable next to it

8 would be a coefficient

Other Questions
A piece of metal is composed of atoms Each atom in the metal contains 29 protons how is the metal classified True or False:Much like stories, movies and tv shows have a setting, plot and theme?a. Trueb. Sometimes Truec. False Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have? In a non-linear control structure, the statements are executed depending upon the In humans, the dominant allele N causes an abnormal shape of the patella in the knee, whereas n is the recessive normal allele. A separate gene is concerned with finger length, and the dominant allele B causes abnormally short fingers, whereas b is the recessive normal allele. A study focused on people who have both abnormal patellae and short fingers. These individuals were N/n . B/b in genotype, having inherited the N allele from one parent and the B allele from the other parent. These N/n . B/b people mated with normal spouses, producing 40 progeny classified as follows: Normal 3 Abnormal knees and short fingers 2 Abnormal knees only 17 Short fingers only 18Explain why the four types of children were found in the proportions shown.Draw the chromosomes of (i) the parents of the N/n . B/b individuals; (ii) the N/n . B/b individuals; and (iii) the four types of children, showing the proper positions of the alleles based on the data above. 5,000,0002.5 x 103What is this in scientific notation and standard form You have a tax basis of $ and a useful life of five years and no salvage value. Provide a depreciation schedule (dk for k15) for % declining balance with switchover to straight line. Specify the year to switchover. Determine the depreciation amounts using the % declining balance and straight-line methods and BV amounts for each year Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals. Which statement best describes the common experience of American Indians with the American landscape?They remained only on the east coast.They respected nature and rough terrain.They exhausted the lands resources.They struggled to survive harsh conditions. In two hours, Christopher can read 150 pages. At this rate, how many pages can Christopher read in three hours?WILL RECIEVE BRAINLIST AND EXTRA POINTS What would you write in a letter to a future student Which artists work were used to demonstrate differences between shallow space and deep space? How do you think changes in temperature can cause movement of air and other fluids on Earth? Suppose you wanted to calculate the heat of reaction for the formation of ammonia gas and hydrochloric acid from solid ammonium chloride. Write a balanced equation for this reaction PLEASE BRAINLIEST IS AMONG US PLS HELP!! WILL REWARD AND GIVE OUT BRAINLIEST! What defines the state of Texas as a geographic region?.Its residents all share the same culture.B.Its residents all speak the same language.CO It is a political unit with a central government.D. It has the same kind of vegetation throughout. What part of your social media strategy is working against your goals? The differing meanings of "valid inference" and "warranted inference" are closely related to the differing purposes of deductive and inductive arguments the purpose of deductive being to prove; the purpose of inductive to make the conclusion most probable. Look up the words "valid" and "warranted." Each of these words, you will find, has what is known as a lexical definition that is just the dictionary definition of the word. Words also have a certain connotations - meanings that go beyond their lexical definitions; associated ideas and concepts think of terms such a "fur baby" as the name for a pet. Required:Briefly discuss how the lexical definitions and connotations of "valid" and "warranted" can help us understand the differing purposes of deductive and inductive arguments. A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212212 times its birth weight. How many pounds did the baby weigh at the end of 8 months?