Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)

Answers

Answer 1

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

Answer 2

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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Related Questions

Adrian is drawing a map to show the directions from his house to his grandmother's house. He uses a scale of 1 1/2
inches represents 12 miles. If the distance from his house to his grandmother's house is 36 miles, how long is the drawing
on the map?

Answers

It’s going to be 4 1/2 inches.
36/12=3
3x1 1/2=4 1/2

The length of the drawing on the map for 36 miles is given by the equation A = 4 1/2 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of miles be = 12 miles

So , 12 miles on the drawing represents = 1 1/2 inches

Now , the number of miles = 36 miles

12 x 3 = 36 miles

And , 36 miles on the drawing represents = 3 x 12 miles on the drawing

Substituting the values in the equation , we get

36 miles on the drawing represents A = 3 x ( 1 1/2 )

On simplifying the equation , we get

36 miles on the drawing represents A = 4 1/2 inches

Hence , the value on the drawing is 4 1/2 inches

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Rewrite in simplest terms: 8(-10r - 9) + 9r



Answers

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ

Answers

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile

A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?

Answers

Answer:

7.5

Step-by-step explanation:

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?


A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

Answers

Answer:

100π in3

Step-by-step explanation:

I took the test

Answer:

V= 100 π ^3

Step-by-step explanation:

V= π r^2 h/3

13^2 = 5^2 + h^2, h=12

V=π 5^2 12/3

V=π. 25. 4

V= 100 π ^3

Please help meeeeee, really stuck

Answers

Answer:

30 m²

Step-by-step explanation:

The figure can be divided into two parts.

The top rectangular part with its width as : w= 2m  and length, l= 9 m

The area , A = l * w = 2*9 = 18 m²

The bottom rectangular part has its width as : w= 2m and length , l = 6 m

The area , A = l*w = 2*6 = 12 m²

Total area is given as :

18 + 12 = 30 m²

The line of best fit for a scatterplot is shown what is the equation of this line of best fit in slope intercept form?
(pic provided)
1. y=-6x+3/4
2.y=6x+3/4
3. y=-3/4x+6
4. y=3/4x+6

Answers

Answer:

3. y=-3/4+6

Step-by-step explanation:

The y-int is 6, so you can already cross out the first two answers. Then, you know the slope is negative because the line is going downward, so -3/4 has to be the slope bc it is negative.

Answer:

y=-3/4x+6

Step-by-step explanation:

the y/intercept is (0,6) because that is the point where the line crosses the y-axis

knowing that use the point (0,6) and (4,3) to find the slope use rise over run so it goes up 3 and right 4

using the slope intercept equation y=mx+b  it is y= -3/4+6

it is negative because its going downward

hope this makes sense and helps you guys!

X (Select all that apply) <7and <8 are?



Vertical Angles
Supplementary Angles

Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
✓Congruent

Answers

Answer:

Alternate interior angle yes

3. If you buy a new car for $6,000 which depreciates at 4%/year,
what will the value be after 3 years?

Answers

Answer:

$5,308.42

Step-by-step explanation:

(see attached for reference)

recall that the formula for Depreciation

is given by

A = P ( 1 - r)^t,

where

A = final amount

P = principal amount = given as $6,000

r = depreciation rate = given as 4% = 0.04

t = time in years = given as 3,

Simply substitute these into the equation to get:

A = P ( 1 - r)^t

= 6000( 1 - 0.04) ^ 3

= 6000 (0.96)^3

= $5,308.42

Evaluate this expression.

112.212 − (− 3.25)



Question 1 options:

−115.62


−108,962


109.352


115.462

Answers

Answer:

-115.62

Step-by-step explanation:

bhjka,f

Three groups of a number plus two.

Answers

3x+2
of means multiply

These all of the answers for question 4-113:

(The answers are in bold, italic, and underlined. (e.g. word))

The sides of a regular hexagon is 16ft. What is the area of the hexagon?

Answers

64 squared ft bc if you have one size of the hexagon that is 16 ft you times that by 4 bc you have to multiply all sides to get the area and you should get 64 sq ft if I’m wrong I’m sorry lol

Answer:

665.1

Step-by-step explanation:

The formula for an area of a hexagon is [tex]\frac{3\sqrt{3}}{2}S^{2}[/tex]

the S (side) is 16 so,

[tex]\frac{3\sqrt{3}}{2}16^{2}[/tex]

=[tex]\frac{3\sqrt{3} }{2}256[/tex]

=[tex]3\sqrt{3}[/tex] × 128

= [tex]384\sqrt{3}[/tex]

round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1

[tex]384\sqrt{3}[/tex] is 665.10751 as a decimal

665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft

Solve the simultaneous equations
x + 5y = 20
x + 3y = 14

X= ?
Y= ?

Answers

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

Solve the system of equations using elimination. How many solutions does the system have?

15j + 12k = 18
5j + 4k = 6
Responses

A. One solution, j = 3, k = 3

B. No solution

C. One solution, j = 10, k = 8

D. Infinitely many solutions

Answers

Answer:

I hope it helps u

Step-by-step explanation:

Let's solve your system by elimination.

15j+12k=18;5j+4k=6

Multiply the second equation by -3, then add the equations together.

(15j+12k=18)

−3(5j+4k=6)

Becomes:

15j+12k=18

−15j−12k=−18

Add these equations to eliminate j:

0=0

Answer:

Infinitely many solutions

Note:  Please Brain-list it ok dear!

If u have any doubt you can ask ok

Determine how to translate triangle A'B'C' to triangle ABC.

Answers

Answer:

im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there

Step-by-step explanation:

Which of the following expressions represents “5 less than 3 times the number m”?

• 3m- 5
• 5m- 3
• 5-3m
• 3-5m

Answers

Answer:

In my opinion it should be 3m - 5

Step-by-step explanation:

If someone gave you 100,000$ dollars, what would you spend it on, and why?

1. ROBUX

2.FORTNITE VC

3. 2K 21 VC

Or 100,00$ for a house and car + own a Resturant

Answers

Answer:

I would use it for a house, car, and own rhe restaraunt

Answer:

House+Car+restaurant

Step-by-step explanation:

Imagine being such an addict that you spend it on a video game tho

ez points :)

BRAINLIEST PLSSSSS

HELP ASAP, BRAINLIEST FOR CORRECT ANSWER!
dilations of triangles, look at the attachments!

Answers

Answer:

1:4

Step-by-step explanation:

every one space on the green triangle, is equal to four spaces on the red triangle.

Help please!!!!! Giving extra points!!!!

Answers

Answer:

16

Step-by-step explanation:

Answer:

I think 16...

Step-by-step explanation:

What is the volume of the tissue box 5in 7in 2in

Answers

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?

Answers

Answer:

50%

Step-by-step explanation:

34/68=0.5=50%

Answer:

50%

Step-by-step explanation:

because yes

In triangle PQR, PQ = 8 cm, QR = 6 cm, and mZPQR = 30°.
Exactly how long is PR?
P
8 cm
30°
6 cm
R

Answers

Answer:

PR = 10

Step-by-step explanation:

Pythagoras

hypotenus ² = base² + attitude ²

substitution ; PR² = 6²+8²

PR² = 100

PR = √100

So, PR = 10

hope it helps you ☺️

How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?

Answers

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

please help me i’ve been struggling PLEASE !!

Answers

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation:

Solve the inequality
[tex] 25 + 8x \leqslant 475[/tex]

Answers

Answer: x<225/4

Step-by-step explanation: hope this help

HELP ASAP YALL- PLS

Answers

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

(PLEASE HELP ME)

Which of the following number sentence is true?
A. 35/5 = -7

B. -72/9 = 8

C. -48/-12 = -4

D. -65/-13 = 5

Answers

this right answer is D.
because -65 divided by -13 is 5

Answer:

D

Step-by-step explanation:

D

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