A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question



A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *

Answers

Answer 1

Answer:

y = 5x - 3

Step-by-step explanation:

The Slope of a Line

Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

We are given the points (-1,-8) and (3,12). Compute the slope:

[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]

The equation of the line now has one known value:

y = 5x + b

Let's use the point (3,12) to find the value of b:

12  = 5(3) + b = 15 + b

Solving for b:

b = 12 - 15 = -3

The required equation of the line is:

y = 5x - 3


Related Questions

I GIVEEE BRAILILSTTTTTTTT

Answers

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

Sam is 59 years old. 4 years later, Sam will be 7 times as old as Nina. How old will Nina be 4 years later?

Answers

Answer:

Hi...

59+4=63

63/7=9

So Nina will be 9 years old

if 50% is 30 what is 25%​

Answers

Answer:

15

Step-by-step explanation:

25% is half of 50%, half of 30 is 15

15 because you are taking away another %50 off

whats the sentence as an equation? 107 fewer than u is 191

Answers

Answer:

shouldn't it be u-107=191 because if 107 LESS then u is 191 then you would subtract 107 from u to get the 191

Find the unknown angle measure by solving for the given variable.

Supplementary angles​

Answers

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

Is y=7x4x is a linear

Answers

Answer:

Yes, y = 7x(4x) is linear.

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1. Therefore, this equation is linear.

Yes it is linear because it is something equal to a line

What Is The Prime Exponent Form Of 192​

Answers

Answer:

2^6 * 3

Step-by-step explanation:

Pls give the right answers
Pls help
Pls help
Pls help

Answers

Answer:

H

Step-by-step explanation:

Because I’m decimal if it is negative the greater the number in negative the less it is


Pleaseeeeeee help I will mark brainliest

Answers

I agree with Garrett that a negative association is demonstrated since when the y value increases, the x value tends to decrease.

if 50% is 30 what is 75%​

Answers

the correct answer would be 45

That answer is 45 ask Siri

Please help me with this question

What is 4% of 300?

Answers

Answer:

12

Step-by-step explanation:

~Turn the percentage into a decimal

4% -> 0.04

~Multiply

300 * 0.04 = 12

Best of Luck!

2. Beth, Kelly, Andrea, and Amy are all training for the
local marathon.
a. Beth can run 6.5 miles per hour. At this rate, how far will
she run in the first 3 hours of the marathon?

Answers

Answer:

19.5

Step-by-step explanation:

we will multiply the distance 6.5 miles per hour by 3 hours .. thenanswer is 19.5 miles

-4 x f (8) + 3 x g(-7) HELP ASAP

Answers

Answer:

-32

Step-by-step explanation:

-4 + f(8) + 3 x g(-7) = ?

To find f(8), look at each of the f(x) function and find x = 8. The y value is the answer you will plug in for f(8). The same goes for g(-7), but you will be looking at the g(x) function at x = -7.

f(8) = -4

g(-7) = -8

Make sure you solve in the correct order using PEMDAS.

-4 + (-4) + 3 x (-8) = -32

Construct the graph of the direct proportion y=kx for

k=0

Of what line should I put it as? For example straight, ---------------
or up "forever" /

Answers

Welp,  I think this is it?

The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the direct proportion

y = kx

Now for k = 0

y = 0 so y = 0 is a horizontal line passing through the origin that is the x-axis.

In the graph below I have attached

Black line y = 4x ( k = 4)

Red line y = x ( k = 1)

Since k is decreasing the lines are becoming horizontal.

Hence "The proportion y = kx for k = 0 will be y = 0 and construct a horizontal line passing through the origin that is the x-axis".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

RSTUV - EABCD. Find AE.
T
8
C
U
6
4
S
B
D
6
v
4
A
R
m
AE =

Answers

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)

Answers

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

Help me please will mark you brainiest if its correct

Answers

he needs 60 more cubes.

Answer:

60 more cubes are needed

write the edge of the cube in terms of its volume​

Answers

Answer:

Step-by-step explanation:

The formula for the volume is given by

(side)3=volume

Since we have the volume, we must take the cube root of the volume to find the length of any one side (since it is a cube, all of the sides are equal).

(side)3−−−−−−√3=side=volume−−−−−−√3

Plugging in 216 for the volume, we end up with

side=6 cm

Answer:

a = ∛v

Step-by-step explanation:

Edge (a) volume (v)

v = a³

a = ∛v

Step By Step please & Thank you.

Answers

Answer:

2/3

Step-by-step explanation:

[tex] \frac{3}{4} n = \frac{1}{2} \\ \\ multiply \: both \: sides \: by \: \frac{4}{3} \\ \\ \frac{ \cancel4}{\cancel3} \times \frac{\cancel3}{\cancel4} n = \frac{\cancel4 \: \: \red{ \bold2}}{3} \times \frac{1}{ \cancel2} \\ \\n = \frac{2 \times 1}{3 \times 1} \\ \\ n = \frac{2}{3} [/tex]

I agree. The answer is 2/3

picture please help

Answers

Answer:

y=7

Step-by-step explanation:

How do you use long division to show the work?

Answers

Answer: 83.2/26= 3.2  

90. 54/18= 93

Step-by-step explanation: Divide the tens column dividend: by the divisor

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

dividend: can be divided by another number)

divisor: Number that divides into another without a remainder.

The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart

Answers

Answer:

Prof B and Prof D

Step-by-step explanation:

Step-by-step explanation:

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

  [tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]

  [tex]P=\frac{N}{S}[/tex]

For Prof A

    [tex]P_A=\frac{N_A}{S}[/tex]

    [tex]P_A=\frac{13}{100}[/tex]

    [tex]P_A=0.13[/tex]

For Prof B

    [tex]P_B=\frac{N_B}{S}[/tex]

   [tex]P_B=\frac{0}{100}[/tex]

    [tex]P_B=0[/tex]

For Prof C

    [tex]P_C=\frac{N_C}{S}[/tex]

    [tex]P_C=\frac{11}{100}[/tex]

   [tex]P_C=0.11[/tex]

For Prof D

     [tex]P_D=\frac{N_D}{S}[/tex]

   [tex]P_D=\frac{16}{100}[/tex]

   [tex]P_D=0.16[/tex]

Generally the average proportional failure is mathematically given as

    [tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]

   [tex]P_a_v_g=0.10[/tex]

Therefore  having this we calculate for the control limits

Generally the upper control limit UCl is mathematically given as

Upper control limits:

  [tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

  [tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 +1.96*0.03[/tex]

  [tex]UCL =0.1 +0.0588[/tex]

  [tex]UCL =0.1588[/tex]

Generally the upper control limit UCl is mathematically given as

Lower limit control limits:

 [tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

 [tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 -1.96*0.03[/tex]

  [tex]UCL =0.1 -0.0588[/tex]

  [tex]UCL =0.0412[/tex]

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options

Which number line shows 1 to 4 divided into fifths?

Answers

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

Consider function f. f(x) = sqrt 7x- 21
Place the steps for finding f^-1(x) in the correct order.
please help:)​

Answers

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

Answer:look at explanation

Step-by-step explanation:

Which of the following statements is true? ​

Answers

Answer:

B and D

Step-by-step explanation:

Hope this helped :)

find the slope please ​

Answers

Answer:

7.) 1 (1,1)

8.) not sure

9.) 1 (-2,-2)

Step-by-step explanation:

I used rise over run

Answer:

7) Slope is 1

8) unidentified

9)  i can't really see the picture but i suggest you grab two points from the line and plug them into the equation (y2 - y1) / (x2 - x1).

Step-by-step explanation:

please help homework. ignore the green that's just pre algebra above ​

Answers

(6x + 5) - (8x - 3) would be the expression but then simplify it.

When it's simplified you get -2x + 8

Therefore the answer will be -2x + 8.

3/4 of a number is what percent? Help ASAP pls

Answers

Answer:

75%

Step-by-step explanation:

1/4 is 25

2/4 is 50

3/4 is 75

4/4 is 100

Answer:

75%

Step-by-step explanation:

3/4 is 0.75

0.75×100 is 75%

I HOPE IT HELPS

F= 1.8C + 32.
Answer choice-

a. 33.8
b. 45
c. 77
d. 58.8

Please help

Answers

Answer: 33.8

Step-by-step explanation:

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