Find the equation of the line that passes through the points (4,1) and (-4, -5)

A. y = 4x + 1
B. y = -4x - 5
C. y = 3/4 x -2
D. y = -3/4 x + 2

Answers

Answer 1
Answer:

First, we must find the slope of the line using slope formula*.

[tex]m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}[/tex]

Second, we now find the y-intercept, or b, using slope-intercept form, the slope we found, and one of the given points.

[tex]1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b[/tex]

Lastly, we can now create the equation of the line.

[tex]m = \frac{3}{4}\\[/tex][tex]b = -2[/tex]

The equation of the line that goes through the given points is C. [tex]y = \frac{3}{4}x - 2[/tex]


Related Questions

Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? thank u if u help and need this ASAP

Answers

Answer: 1 1/8 teaspoons

Step-by-step explanation:

1 person = 3/8 teaspoons

3/8 x 3 = 1 1/8 teaspoons


The Franks family ordered 7 pizzas for their son's birthday party on Saturday.
They purchased pizzas and gave the delivery man a $15 tip. The totalamount
paid including the tip was $78.

Answers

Answer:

Question?

Step-by-step explanation:

I can't see it am sorry

Answer:

If your looking for the amount per pizza then it’s $9

Step-by-step explanation:

1. 78-15=63

2. 63/7=9

3. 9 dollars per pizza

4) Find the slope of the graph
(-2,7)
(6, 1)

Answers

Answer:

m=−3/4 b=11/2

Step-by-step explanation:

Answer:

Slope =-3/4

Step-by-step explanation:

Given

Point on the slope (-2,7) (6, 1)

Where ( x1,y1) is (-2,7) and (X2,y2) is (6,1)

Slope =y1-y2/ x1-x2

=7-1/-2-6

= 6/-8

= -3/4

So the slope is -3/4

Julio predicted that the average high temperature for January would be Negative 7 degrees Celsius. The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?
–11°C
–3°C
3°C
11°C

Answers

-3 c is the answer !!!!!

Answer:

B (-3)

Step-by-step explanation:

Good Luck!

Simplify the expression.
3x3 - 2x2

Answers

Answer:

3x^3 - 2x^2

Step-by-step explanation:

This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.

Jan is using toothpicks to create patterns as shown below.
A
Figure 1
Figure 2
Figure 3
Based on this pattern, how many toothpicks will Jan use in Figure 16?

Answers

15, they add 4 each time

Answer:

63

Step-by-step explanation:

I did the CFU.

What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?

Answers

Answer:

Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out

Step-by-step explanation:

Same way with 42

2. Choose the expanded form for: 5.673 *
(5 x 1) + (6 x 1/10) + (3 x 1/100) + (7 x 1/1000)
O five and six hundred seventy three thousandths
O (5 x 10) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)
O (5 x 1) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)

Answers

it’s the last one (5x1) + (6 x 1/10) + (7 x 1/100) + (3x 1/1000)

Choose the graph for the inequality.

Answers

Answer:

B

Step-by-step explanation:


Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear equality in the coordinate plane 2x+y>4

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Setting x=0, you can find the y-intercept:

  y = 4

Setting y = 0, you can find the x-intercept:

  2x = 4

  x = 2

The boundary line can be drawn through these intercept points, (0,4) and (2,0). Because the "equal to" case is not included, the boundary line will be dashed.

The y variable is on the open side of the comparison symbol (y>), so the shading is above the boundary line. That is where y-values are greater than those on the line.

Answer:

Answer is in the attachment

Step-by-step explanation:

mark me the brainiest

15pts and brainliest to whoever can answer
(Also EXPLAIN the reasoning you used to find the value of P

Answers

9514 1404 393

Answer:

  p = 3x+10

Step-by-step explanation:

The attached diagram pretty much explains it.

The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:

  (2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line

Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:

  (2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line

__

The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...

  left-side area = x(2x -5)

  right-side area = x(x +15)

Then the total area enclosed by the solid line is ...

  x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)

__

The area of the lot extension is the product of its dimensions:

  extension area = x·p

We want this to be the same as the area in the solid line, so ...

  x·p = x·(3x +10)

Dividing by the coefficient of p (which is x), we have ...

  p = 3x +10

What is the square root of 450 divided by 5?

Answers

Answer:

The square root of 450 is irrational, meaning it never ends. As an estemate  though the answer is 4.24

Step-by-step explanation:

A baker uses 1,232 ounces of flour daily. The baker's recipe for a loaf of bread calls for 12 ounces of flour. How many full loaves can he bake in one day?

Answers

Answer:

102 loafs of bread

Step-by-step explanation:

1232 ÷ 12 = 102.6666666666

102 is the answer

Answer:

102 loafs of bread

Step-by-step explanation:

1232 ÷ 12 = 102.6666666666

102 is the answer

What is the solution?

Answers

Answer:

y=60 x=16

Step-by-step explanation:

the triangles are identical so 92+y=3y-28 so solve that for y:

                                                     -y      +28

                                                  120=2y                                                                            .                                                  /2      /2

                                                  60 = y so y=60

and 6x+2=3x+50 and solve that for x: which gets x = 16

Then are you supposed to plug it in to the numerical equvilant to the angles and sides becuase if so:  B and E is 152, AC and DF are 98

Hope this helps and brainliest would be greatly appreciated! Thanks!

It takes Mark 45 minutes to ride his bike 5 miles. At this rate, how long will it take him to ride 8 miles?

Answers

Answer:

1 hour and 12 mins

Step-by-step explanation:

I need help ASAP will reward a lot of points and mark BRAINLIEST

Answers

11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes

help will be helpful thank you

Answers

Answer:

a. 9+15+12=34ft

b.10×2+40×2=100cm

Step-by-step explanation:

For A add all the numbers and for B add 10 twice and 40 twice because there arent any numbers there.

Simplify the expression.
pls i need help

Answers

Answer:

7x+1

Step-by-step explanation:

Write the quadratic equation whose roots are 1 and -6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)

Answers

Answer:

[tex]f(x)=5x^2+25x-30[/tex]

Step-by-step explanation:

Quadratic Equation

If the roots of a quadratic equation are known, we can form the equation as follows:

[tex]f(x)=a(x-x_1)(x-x_2)[/tex]

where x1 and x2 are the known roots, and a is the leading coefficient.

We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:

[tex]f(x)=5(x-1)(x+6)[/tex]

Operating:

[tex]f(x)=5(x^2-x+6x-6)[/tex]

Simplifying:

[tex]f(x)=5(x^2+5x-6)[/tex]

Multiplying:

[tex]\mathbf{f(x)=5x^2+25x-30}[/tex]

helpp simplify thissss

Answers

Answer:

2c^2

Step-by-step explanation:

8c^3d^2/4cd^2

divide the 8 by 4 to get 2

You subtract the powers so c^3-c=c^2   the d^2 cancel each other out

that leaves 2c^2

Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?

Answers

Answer:

The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!

Answer:

978678

Step-by-step explanation:

kjgh

using ratio plz help im stuck i need #5 for one side 1-5 for the other

Answers

1) Muriel’s scores for science, math and English are in the ratio of 3:5:7. If her highest score was 21, find the difference between the highest and lowest score.

Science= 3 * 21 = 63
Math= 5 * 21 = 105
English= 7 * 21 = 147

147- 63 = 84

Answer: 84

2) A rope is cut in two in the ratio 3.5:1.75. The difference between the length is 94.5 inches. What was the original length of the rope?

3.5+1.75= 5.25
94.5 + 5.25 = 99.75

Answer: 99.75

3) A room is 14 feet long. Find the width of the room, if the ratio of the length to the width of the room is 7:5.
Length= 14
7 • 2 = 14
5 • 2 = 10

Answer: 10 feet

4) Steve covers a distance of 0.7 miles in 2 minutes. How much time will it take to travel 14 miles?
0.7 miles in 2 minutes
2 • 7 = 14
0.7 • 7 = 4.9

Answer: 4.9 miles

5) Lara and Mae are collecting seashells. For every 9 seashells that Lara picked, Mar gathered 7 seashells. If Lara collected 63 seashells, how many fewer seashells did Mae gather?

Let’s get out the key words here.
Lara gathers 9
Mae gathers 7
Lara collects 63
Mae collects ?
**Fewer seashells**

9 • ? = 63
9 • 7 = 63
This means she would need to gather 9 seashells 7 times to get 63 seashells.
This means Mae would need to get 7 shells 7 times to get her fewer amount.

7 • 7 = 49

Mae would gather 49 seashells. But it says fewer seashells.
63- 49 = 14

Final Answer: Mae would gather 14 less seashells then Lara.

5) A sum of 2,700 is shared among Eric, Jo, and Richard. Jo’s share is two times that of Richard’s share. Eric’s share is three times that of Jo’s share. Find Eric’s share.

2700/3= 900
900*2= $1,800

Answer: $1,800

I’m not sure if all of the answers are right but I hope this still helps you :)

Simplify: -(-9) - 8(6 - 2)

Answers

9-48+16=

-39+16=

-23

Hope this helps!

Answer:

28

Step-by-step explanation:

-(-9) -8(6-2)

-(-9)-8(4)

-(-9)-32

9 - 32

28

Events which do not influence each other are called

Answers

Answer:

Independent Events

Step-by-step explanation:

Independent Events are events which do not affect each other.

HTH :)

The correct answer would be independent events

the phones continue to be made with the correct working part, so the percentage continues to increase. what percent is reached if (round answers to the nearest tenth of a percent):

- the next 50 phones are working?
- the next 100 phones are working?
- the next 500 phones are working?

Answers

Answer:

The next 50 phones are working? ---> 88.3%

The next 100 phones are working? ---> 93.6%

The next 500 phones are working? ---> 98.6%

Step-by-step explanation:

Just answered it on edge :)

Answer:

88.3

93.6

98.6

Step-by-step explanation:

Edge2021

At the U-Pack Shipping, the workers can unload 24 trucks in 8 hours. Which of the following is a correct unit rate for this situation?

1 over 3. of a truck per hour
1 over 3. of an hour per truck
3 hours per truck
1 truck per hour

Answers

Answer:

1 over 3. of an hour per truck.

Step-by-step explanation:

1/3 x 1 hour = 20 min.

20 min X 24 (each truck) = 480 mins

480 mins / 60 mins = 8 hours

1/3 of an hour per truck.

(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *

Answers

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

simplifying products and quotients 2^5/4=2^5/2^a=2^b=c
please help​

Answers

Answer:

8=16a=2b=c

Step-by-step explanation:

2^5/4=2^5/2^a=2^b=c

32/4=2^5/2^a=2^b=c

8=2^5/2^a=2^b=c

8=32/2^a=2^b=c

8=32/2a=2^b=c

8=16a=2^b=c

8=16a=2b=c

the function of f (x) is defined by f (x)=4x+7. the inverse of f (x) is g (x). what is g (15)?

Answers

Answer:

g(15) = 2

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Algebra I

Function inverses

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 7

g(x) = f⁻¹(x)

g(15) is x = 15

Step 2: Find inverse

Rewrite:                    y = 4x + 7Swap:                        x = 4y + 7Isolate y term:          x - 7 = 4yIsolate y:                   (x - 7)/4 = yRewrite:                    y = (x - 7)/4Back-substitute:       g(x) = (x - 7)/4

Step 3: Evaluate

Substitute:                    g(15) = (15 - 7)/4Subtract:                       g(15) = 8/4Divide:                          g(15) = 2

need help i will mark brainliest

Answers

Answer:

sorry all I know is "C" is 30

Step-by-step explanation:

Answer:

t=15 k=320 p=30 j=39 r=22

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