What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4

Answers

Answer 1

Answer:

the desired equation is y = (-3/4)x - 1

Step-by-step explanation:

Start with the slope-intercept formula y = mx + b.

Substitute -4 for y, +4 for x and -3/4 for m:

-4 = (-3/4)(4) + b

Then -4 = -3 + b, so b must be -1

and the desired equation is y = (-3/4)x - 1


Related Questions

A 42​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.

Answers

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!

Write f as a product of three linear factors. f(x) = x3 -3x2 + 2x - 6

Answers

Answer: f(x)= x8

Step-by-step explanation: f(x)= x3 - (-6) + -4x/ f(x)= 2x - x3 = x8

2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).​

Answers

Answer:

y= - 1/4x

Step-by-step explanation:

The equation of the line passing through that point with the required slope is y=2x+3.

What is slope?

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

[tex]m^p[/tex]=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

To learn more about slope, refer;

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On a school fieldtrip with 344 students, they filled 5 buses, but 34
students couldn't fit on the buses and had to get rides with their parents.
How many students fit on each bus? *

Answers

Subtract 34 from 344 and then divide the answer by 5 so
344-34=310
310/5=62

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!

Answers

Answer: (for the sentence) an endpoint; one direction

Step-by-step explanation:

Drag the point that does not have an arrow after it to point A and the other one to point B.

Answer:

you move it to align with a and the starting point is B.

Step-by-step explanation:

it is a ray because it has a starting point but goes forever in one direction.

can you give me brainliest?

Solve for y.
24=8/3y

Simplify your answer as much as possible.

Answers

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

The distance between point (-4,5) and another point is 10. What are the possible coordinates of the other point?

Answers

Answer:

Use the distance formula;

d = SQR[(x2 - x1)^2 + (y2 - y1)^2]

d = 10 and (x2, y2) = (-4, 5)

10 = SQR[(-4 - x1)^2 + (5 - y1)^2]

Step-by-step explanation:

PLEASE HELP ANYONE:))

Answers

Answer:

3 million dollars

Step-by-step explanation:

i just did this and got it right

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

what's the diagonal if a square of area 32 cm2?​

Answers

Answer:

it is d=8cm

I hope this helps!!!

Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?

Answers

(9)(3) would be the expression for the factors rounded to the nearest whole numbers.
I hope I correctly answered your question and that this helps.

is this a function? x

Answers

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

The correct answer is 2

the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.

Answers

Answer:

The sorted steps are;

1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456

2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560

3) Eliminate x's: 8·y = 312

4) Solve for y: y = 39 (39 buses)

5)Plug back in to find x: 10·x + 8·(39) = 472

6) Solve for x: x = 16 (16 vans)

Step-by-step explanation:

Let x = The number of students in each van and y = The number of students in each bus

We have;

For High School A;

10·x + 8·y = 472...(1)

For High School B;

9·x + 8·y = 456...(2)

Multiply equation (1) by (-9) and equation (2) by 10 to get

(10·x + 8·y) × (-9) = 472 × (-9)

-90·x -72·y = -4,248...(3)

9·x + 8·y × (10)= 456 × (10)

90·x + 80·y = 4,560...(4)

Add equation (3) to (4) gives;

-90·x -72·y + 90·x + 80·y = -4,248 + 4,560

90·x - 90·x -72·y + 80·y = -4,248 + 4,560

8·y = 312

y = 312/8 = 39

y = 39

Substituting the value of y in equation (1), gives;

10·x + 8·y = 10·x + 8 × 39 = 472

10·x + 312 = 472

10·x  = 472 - 312 = 160

10·x  = 160

x = 160/10 = 16

x = 16

The number of students in each van = x = 16 students

The number of students in each bus = y = 39 students.

someone be quick PLEASEEEEEEEEEE
Solve LaTeX: \frac {b}{6} > -7

Answers

Answer:

[tex]\huge\boxed{b>-42\to b\in(-42;\ \infty)}[/tex]

Step-by-step explanation:

[tex]\dfrac{b}{6}>-7\qquad|\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup\cdot\dfrac{b}{6\!\!\!\!\diagup}>(6)(-7)\\\\b>-42\to b\in(-42;\ \infty)[/tex]

What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.

Answers

Answer:

1/84

Step-by-step explanation:

Answer:

1/84

Step-by-step explanation:

2/12 x 1/14

Can be simplified to:

1/12 x 1/7

12 x 7 = 84

1/84

Please let me know if I'm wrong :)

A tree that was 7 1/4feet tall grew 10 inches one
year and 1/6 of a foot the following year. How tall
was the tree after two years?
a. 8 feet, 3 inches
b. 8 feet
c. 7 feet, 6 inches
d. 7 feet

Answers

Answer:

A

Step-by-step explanation:

Please give brainliest!

Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.

Answers

Answer:

6 blocks

Step-by-step explanation:

Simplify: 3.32 +8+2 - (4 + 3) ​

Answers

Answer:

6.32

Step-by-step explanation:

Answer: 6.32

Step-by-step explanation:

Which equation correctly applies the distributive property?
A. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67​

B .​(42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)​

C. ​2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)​

D. ​−3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answers

The correct answer is B

Answer:

B

Step-by-step explanation:

if i won 10 games out of 16, how many games would i need to paly to win 50

Answers

Ratio is 10:16, so to win 50, its 50:190, so you need to play 190 games to win 50

Answer:

19

Step-by-step explanation:

jerry has $115 in his savings account and $65 dollars in his checking account If Jerry deposits $20 to his savings account each week and $45 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?

Answers

Answer:

after 2 weeks

Step-by-step explanation:

y=20x (savings account)

y=65x (checking account)

20*2 is 40. 115+40 is 155

45*2 is 90. 65+90 is 155

46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!


National Park Animal Populations

You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:

Yellowstone

x Year

y1 Population 1, Grizzly Bears

(per square mile)

y2 Population 2, Pocket Gophers

(per square mile)

y3 Population 3, Osprey

(per square mile)

x y1 y2 y3

0 4.0 4.0 4.0

1 4.5 4.5 5.8

2 5.0 5.3 7.2

3 5.5 6.4 8.2

4 6.0 8.1 8.8

5 6.5 10.6 9.0

8 8.0 28.6 7.2

10 9.0 60.7 4.0


Everglades

x Year

y1 Population 1, American Alligator

(per square mile)

y2 Population 2, Marsh Rabbit

(per square mile)

y3 Population 3, Florida Panther

(per square mile)

x y1 y2 y3

0 6.0 6.0 6.0

1 6.5 6.5 7.8

2 7.0 7.3 9.0

3 7.5 8.4 9.8

4 8.0 10.1 10.0

5 8.5 12.6 9.8

8 10.0 30.6 6.0

10 11.0 62.7 1.0



Make Sense of the Problem

What do you want to find out?




Analyze the Data

Population 1 (y1): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 1:

1. Is population 1 increasing or decreasing? (0.5 point)






2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)







3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)







4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)







Population 2 (y2): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 2:

5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)







6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)







7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)







8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)







Population 3 (y3): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 3:

9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)







10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)







11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)







12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)








13. Use the following graphs to verify your work on this question.


A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)







B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)







C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)

Answers

Yellowstone

What do you want to find out?

-What type of function best models the population growth for each species

Population 1 (y1):

Grizzly Bears

1. Increasing

2. (4.5-4.0)/(1-0) =0.5

3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.

4. Linear

Population 2 (y2):

Pocket Gophers

5. 60.7 population per square mile

6. (60.7-10.6)/(10-5) =50.1/5 =10.02

7. Exponential

8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5

The estimated rate of change from year 5 to year 6:

2.5 x 1.5 =3.75

Population 3 (y3):

Osprey

9. 9 population per square mile. This occurred in year 5.

10. (4-9)/(10-5) =-5/5 =-1

This is a decrease

11. Quadratic, the numbers increase as well as decrease.

12. Circle the point where x=0 (the point where the three lines intercept)

The initial point, where x=0, y1,y2,y3 =4

13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6

B. (4-7.2)/(10-8) =-3.2/2 =-1.6

C. (-1.6)-(-0.6)/(10-5) =-0.2

the formula is

-0.2*(x^2)+2x+4

Substituting x with 15,

-0.2*(15^2)+2(15)+4

=-45+30+4

=-11 population per square mile

Answer:

i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?

Step-by-step explanation:

help me .................

Answers

Answer:

Perpendicular

Step-by-step explanation:

the slope of b is -3/4 and the slope of a is 4/3

Answer:

Perpendicular

Step-by-step explanation:

The lines are perpendicular because they meet at a right angle (90 degrees).

five billion, seventy three thousand

Answers

Answer:

5,000,073,000

Step-by-step explanation:

PLS ANSWE PLS NEED HELP ASAP

Answers

Answer:

D. 75

Step-by-step explanation:

Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)

180-105 = 75. Sorry if wrong

Select ALL graphs that do NOT represent a function.

Answers

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.

The sides of a triangle measure 2+ 5,−4, and 3(2+ 1). What is the perimeter of the triangle?

Answers

The perimeter of the triangle is 10. Hope this helps and Brainliest would be appreciated

The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.​

Answers

Answer:

g

Step-by-step explanation:

Answer:

Perimeter of rectangle = 728 cm

Step-by-step explanation:

Length :  breadth = 15 : 11

Length = 15x

Breadth = 11x

15x - 11x = 56 cm

         4x = 56

           x = 56/4

           x = 14

Length = 15 *14 = 210 cm

Breadth = 11 * 14 = 154 cm

Perimeter of rectangle = 2 * ( length + breadth)

                                     = 2 *(210 + 154)

                                     = 2 * 364

                                      = 728 cm

what other properties do we use to rewrite expressions and equations​

Answers

Answer:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Step-by-step explanation:

Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

What is Expression?

An expression is combination of variables, numbers and operators.

The properties we use to rewrite expressions and equations​ are

The commutative

Associative, and

distributive properties

These properties help to rewrite a complicated algebraic expression into simpler form.

When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hence, Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

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The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?

Answers

Answer:

The number of hours that the milk will stay fresh is 86.2 hours

Step-by-step explanation:

Given the following function;

[tex]H(T) = 180*10^{(-0.04T)}[/tex]

where;

T, is the  temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.

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