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

[tex]\frac{1}{2} x \frac{3}{4}[/tex]

Answers

I am pretty sure it is0.375

Find the Value of “Y”.

Answers

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

Is the following equation proportional or non-proportional?

y = -4x - 3

Answers

Answer:

proportional

Step-by-step explanation:

Find the slope of the line through each pair of points

(1, -19), (19, -2)

Answers

The answer is -17/18


Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2

Answers

Answer:

first and second

Step-by-step explanation:

asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)

asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0

you can graph it on desmos

PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]

Answers

Answer:

yes

Step-by-step explanation:

so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

Learn more about Scale Factor here :

https://brainly.com/question/3819163

#SPJ3

fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?

Answers

Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

Witch fraction is equivalent to 2/3

Answers

8/12 i think hope this helps

Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21

Step-by-step explanation:

These r just a few hope this helps ;)

A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?

Answers

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit

Answers

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}

Answers

Hope this helps ☺️!!!!!

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?

Answers

I think that the answer is $21.80
Hope it helps!:)

What is the unit rate of store A?

•$0.75 / notebook

•$0.50 / notebook

•$0.80 / notebook

•None of the above

What is the unit rate of store B ?

•$0.60 / notebook

•$0.30 / notebook

•$0.55 / notebook

•None of the above

Which store has the better deal per notebook? *

•Store A

•Store B

•The unit rate is the same at both stores

Answers

STORE B BECAUSE LOW RATES IS BETTER THAN HIGH

Which graph represents the function

Answers

Answer:

The Fourth One.

The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3

hope it helps!

write a polynomial in factored form with solutions of ​

Answers

Answer:

The factored form of a polynomial means it is written as a product of its factors. The factors are also polynomials, usually of lower degree.

What is the combined length of all the buttons longer than 1 inch

Answers

Answer:

Where is the problem to solve?

Step-by-step explanation:

One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?

Answers

Answer:

the answer is 9

Step-by-step explanation:

PLEASE ANSWER GIVING 30 POINTS

Answers

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile

Answers

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

Please help me. Thank you...

Answers

9514 1404 393

Answer:

  V = (x)(10-2x)² . . . . factored form

  V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

__

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

  V = LWH = (10-2x)(10-2x)(x)

  V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

Find the value of the missing angles.

Answers

Answer:

t=62

w=37

v=118

Step-by-step explanation:

You are flying your dragon kite.​ It's connected to 40yd of string. The kite is directly above the edge of a pond. The edge of the pond is 36yd from where the kite is tied to the ground. How high is the kite above the edge of the​ pond?

Answers

We have a right triangle with hypotenuse 38 and leg 34.

We want to find the other leg.

We use the Pythagorean Theorem:

Simplify 6(5x-1)-3(2x-10)

Answers

Answer:

30x-6-6x-30

30x-30x-6-6

0-12

-12

Answer: 24x + 24

Explanation:

Step 1: Distribute 6 and -3 into the parenthesis

6(5x-1)-3(2x-10)

30x-6-6x+30

Step 2: Combine like terms

(30x–6x) + (-6+30)

= 24x + 24

Hope this helps, mark brainliest please!

Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?

Answers

Answer:

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Step-by-step explanation:

Given that:

Distance walked from school to Bocas house = 1/4 miles

Distance walked from Paul's house to the park = 4/6 miles

Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]

Total distance walked = [tex]\frac{3+8}{12}[/tex]

Total distance walked = [tex]\frac{11}{12}[/tex] miles

Hence,

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

PLEASE HELP

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?

Answers

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

if there are 45 seats in 9 rows how many seats are in 1 row.

Answers

there should be 5 seats

Answer: Their is 5 seats in 1 row.

Step-by-step explanation:    9x5=45 and 45÷9=5

20 to the power of 3 divided by 2​

Answers

Answer:

4000

Step-by-step explanation:

20 to the power of 3 is 8000 and 8000/2 is 4000

20^3 = 8000 / 2 = 4000

Can some one plz help i will give BRAINLIEST.

If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.

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