Find the equation (in terms of x) of the line through the points (-3,2) and (4,-12)

Answers

Answer 1

Answer: y= -2x -4

Step-by-step explanation:

-3-4= -7

2-(-12)=14  

14/-7= -2 as the slope.  y=-2x +B

2=-2(-3) +b

2=6 +b     b=-4

y= -2x -4


Related Questions

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.

Answers

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

I hope I have your equations correct:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

How to solve graphs of straight line

According to the question;

For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a non-member; y equals StartFraction 1 Over 5 EndFraction x.

In essence; the mathematical equation for a member is;

y = (1/10)x + 60.

For a non-member;

y = (1/5)x.

Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

Read more on graphs of straight line;

https://brainly.com/question/14808962

On the venn diagram, which region(s) represent the union of set A and set B (AuB)?

Answers

You need to show us the full question please

Answer:  Region I and III

Step-by-step explanation:

The Union includes all the members of set A and set B

Region II is also part of that union, but alone, Region II is the intersection.

Can someone help with step by step

Answers

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

The amount of people in a population can be determined by using the model y=1000(1.35)x. What is the growth rate?

A.
35%

B.
1.035%

C.
1.35%

D.
3.5%

Answers

Answer:

The growth rate is 35%

Step-by-step explanation:

We are given that the amount of people in a population can be determined by using the model :

[tex]y=1000(1.35)^x[/tex]

Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]

Where y is the population in t years

a = Initial population

r = growth rate

The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]

Om comparing it with 1

r = 0.35

So, Growth rate = 35%

Hence The growth rate is 35%

Solve for m. –5 − 5m = –6m
m= _

Answers

Answer:

M = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5−5m=−6m

−5+−5m=−6m

−5m−5=−6m

Step 2: Add 6m to both sides.

−5m−5+6m=−6m+6m

m−5=0

Step 3: Add 5 to both sides.

m−5+5=0+5

m=5

Please round 0.02623 to the nearest hundred.
||||
Thank you guys! please answer soon!

Answers

Answer:

0.03

Step-by-step explanation:

6 is greater then 5, so you add 1 to 2 making 0.03

Answer:

0.03

Step-by-step explanation:

the digit after the first 2 is a 6 and you always round up so it would be 0.03.

Find the surface area of the figure. Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:


PLEASE ANSWER CLEARLY YOU CAN EITHER PUT JUST A LETTER OR THE LETTER AND IT'S ANSWER THANK YOU, EVERYONE! :)

The dimensions of a rectangle are represented by the functions shown.


Which function represents the area of the rectangle?

A. 12x2 + 15x – 10

B. 12x2 + 7x + 10

C. 12x2 – 8x – 10

D. 12x2 + 7x – 10

Answers

Answer:

D

Step-by-step explanation:

multiply it out

(3x-2) (4x+5) =

12x^2 +15x - 8x -10

= 12x^2 + 7x - 10

There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?

Answers

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44

brainliest & points!
i need help with math asap, show work too if possible :)

Answers

Answer:

I think the answer is x is 16 and y is 20? I could be wrong tho

Step-by-step explanation:

First, subtract -7 from -1 to get 8.

Then, add the 12 and you get 16 for x.

First, subtract 7y from 9x to get 2y

Then, add 4 to get 20 for y.

A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.

Answers

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

If the associated Linear function of this sequence was graphed, what woulld be its slope?

A) 2
B) 4
C) 8
D)1/4​

Answers

D. 1/4 i think sorry if i’m wrong

Answer:

I think it is A but the other person might be right

i need help!!!
y=6x
y=42

simplify the answer as much as possible

Answers

Answer: X=7

Explanation: because 6x7=42 and 42 is y
Answer & Explanation:

1. Set both of the equations equal to each other to find x.

2. 6x=42

3. Divide both sides by 6.

4. X=7

5. Now let’s find y

6. y=42

7. Check your work:
Plug in the value of x into this equation. y=6x

We know that x=7, so y=6(7)= 42

This means that x=7 and y=42

I hope this helps you!!!!

Write the numbers in order from least to greatest:

3/4, 0.7, 1/2 , 0.1

Answers

Answer:

0.1, 1/2, 0 .7 , 3/4

Step-by-step explanation:

3/4, 0.7, 1/2 , 0.1

Change the numbers to the same form

3/4 = .75   1/2 = .5

.75 , .7  , .5   , .1

We want the numbers from least to greatest or smallest to biggest

.1 is the smallest

then .5

then .7

then .75

Changing the numbers back to the original form

0.1, 1/2, 0 .7 , 3/4

Answer:

0.1, 1/2, 0.7, 3/4

Step-by-step explanation:

3/4, 0.7, 1/2 , 0.1

Convert into decimals

0.75 , 0.7 , 0.5 , 0.1

0.1 , 0.5 , 0.7 , 0.75

Terrence tracked the number of hours he worked each week and recorded the data in a frequency table.
Hours worked Frequency
20 2
21 0
23 3
25 8
26 2
27 6

Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots.

Answers

Answer:

2 dots on 20

0 dots on 21

3 dots on 23

8 dots on 25

2 dots on 26

6 dots on 27

Step-by-step explanation:

What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?

Answers

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Is this SAS or Not SAS?

Answers

SAS


Both triangles angles and sides are congruent

Answer:

SAS

Step-by-step explanation:

BRAINIEST ANSWER PLEASE HELP OFFERING 30 POINTS!!!!

Lulu tells her little brother, Jack, that she is holding 20 coins all of which are dimes and quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Algebraically solve this problem for Jack when x is # of dimes and y is the # of quarters

Answers

Answer:

The answer is 14 quarters and six dimes

Step-by-step explanation:

-.1(D+Q=20)

.10D+.25Q=4.10    -.1D-.1Q=-2

                             .1D+.25Q=4.10

------------------------------------------------------

                            .15Q=2.10/.15(both sides)

Q=14 which leaves you needing 60 more cents so 6 dimes

Answer:

6 dimes and 14 quarters

Step-by-step explanation:

x+y=20

0.1x+0.25y=4.1

We can multiply all the numbers in the second equation by 20 to get 2x+5y=82.

Then isolate y to get y=20-x.

Substitute y for 20-x in equation 2 to get 2x+5(20-x)=82

2x+100-5x=82

-3x+100=82

-3x=-18

x=6, and y=20-6, which is 14.

So, Lulu has six dimes and 14 quarters.

abc2 at a = 4, b = 1/4, c = 5

x + y + z/3 at x = 1, y = 3, z = 5

(p + q)2 at p = 8, q = –5

Answers

Look at the attached picture

Hope it will be helpful to you...

HOW COULD YOU USE A GRAPH TO SHOW WHETHER THE DATA ARE IN A PROPORTIONAL RELATIONSHIP

Answers

Answer:

If the graphs are parallel they are porportional

Step-by-step explanation:

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

Step-by-step explanation:

Please mark me most brainly... :)

Can someone help me? Thanks! :)

Answers

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

Help please. If I get the answer right you will get brainliest

Answers

Answer:

x [tex]\geq[/tex] -4

Step-by-step explanation:

-7x+13≥41

     -13 -13

   -7x ≥ 28

    -7     -7

      x ≥ -4

PLZ HELP MEEEEEEE! T-T welp... I hate HOMEWORK!!!

What’s 8 1/3 percent as a fraction and decimal?

Answers

Answer:

.0833333%

and

8 1/3 %

Step-by-step explanation:

Common sense

Answer:

8 1/3

&

0.8333333333

Step-by-step explanation:

An in-ground swimming pool is 8 meters long, 6 meters wide, and 2 meters deep. The water-resistant paint needed for the pool costs $6 per square meter. Step by step.
1. How many sides of the pool do you have to paint?
2. How much paint (in square meters) do you need to paint the pool?
3. How much will it cost to paint the pool?
4. How much water will the pool hold?

Answers

1. If it’s a 3D shape, then it automatically will mean that it has 6 sides.

2. So, we are trying to find the surface area to figure out how much paint we need to paint the pool. So, the answer is

The slope intercept equation

Answers

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

Help asap pleaseee!
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

200 ft per hour


105 ft per hour


300 ft per hour


75 ft per hour

Answers

Answer:

75

Step-by-step explanation:

700-400=300

6-2=4

300/4=75

Answer:

75 ft per hour.

Step-by-step explanation:

because

You walk from home to school. You graph the relationship between time, x, and distance from home, y. Which best describes the graph of your walk from home to school?
A. The graph will slope up and to the left
B. The graph will slope up and to the right
C. The graph will start at the origin and go up to the left
D. The graph will start at the origin and go up to the right

Answers

Answer:

The graph will start at the origin and slope up and to the right.

Using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.  

What is graph?

A graph is "diagrammatic or pictorial representations of collections of data in a organized manner".

According to the question,

The horizontal line or x-axis of the graph represents time taken during walk and the vertical line or y-axis of the graph represents distance traveled with respect to time.

Since walking start at home is taken as origin in the graph and reaching to school is noted in go up to the right of the graph.

Hence, using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.  

Learn more about graph here

https://brainly.com/question/14135521

#SPJ2

The graph of f(x) is shown. Estimate f(-3).
f(-3) = 1

Answers

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation:

15 more than x is 58

Answers

Answer:

The equation for this would be x + 15 = 58.

Step-by-step explanation:

"More than" would refer to addition. So 15 more than x would be x + 15.

"Is" means "equals", so when they say "is 58" it means "equals 58."

Put it all together: x + 15 = 58.

Answer:

58-15=43

x=43

if you want an equation:

x+15=58

Rounded to the nearest hundredths 27.5=3+5(k-9.5)

Answers

Answer:

12 = k

Step-by-step explanation:

Begin: 27.5 = 3 + 5 (k-9.5)

1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.

Now: 27.5 = 3 + 5k - 47.5

2. Combine the 3 and -47.5, which comes to be -44.5

Now: 27.5 = -44.5 + 5k

3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72

27.5 + 44.5 = -44.5 + 44.5 + 5k

Now: 72 = 5k

4. Divide both sides by 5 to be left with just what k equals

72/5 = 5k/5

Final Answer: 12 = k

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