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Sever21 [200]
3 years ago
8

A line passes through the points (4, 13) and (-2, -2). What is the equation of the line in standard form?

Mathematics
2 answers:
scZoUnD [109]3 years ago
5 0

Answer:

Step-by-step explanation:

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-13}{-2-4}\\\\=\frac{-15}{-6}\\\\=\frac{5}{2}

m= 5/2

Equation: y - y1 = m(x -x1)

y-13=\frac{5}{2}(x-4)\\\\y-13=\frac{5}{2}x-\frac{5}{2}*4\\\\y-13=\frac{5}{2}x-10\\\\y=\frac{5}{2}x-10+13\\\\y=\frac{5}{2}x+3

Gekata [30.6K]3 years ago
4 0

Answer:

y=5/2x+3

Step-by-step explanation:

easy. just find the slope and y-int.

slope is y2-y1 and under is x2-x1

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Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
2 years ago
A side of the triangle below has been extended to form an exterior angle of 164º. Find the value of x.​
OverLord2011 [107]

Answer:

x=111

Step-by-step explanation:

the supplementary angle is 16. triangles should add up to 180.

4 0
3 years ago
-5(c-2)=20-5c+10<br> help please
Rudiy27

Answer:

10 is the answer

Step-by-step explanation:

C(5,2) = 5! / 2! (5-2)!

C(5,2) = 5! / 2!3!

C(5,2) = 120/12

C(5,2) = 10

6 0
3 years ago
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2 years ago
9) Find the average rate of change for the function modeled by the graph 5 points
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Answer:

4

Step-by-step explanation:

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3 years ago
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