What is the equation of the line passing through (2,-8) and (5,-3)?

1 Answer
Meave60
Nov 30, 2015

The equation in slope intercept form is y=5/3x-34/3.

Explanation:

First find the slope, m.

m=(y_2-y_1)/(x_2-x_1)

(x_1,y_1)=(2,-8)

(x_2,y_2)=(5,-3)

m=(-3-(-8))/(5-2)

m=(-3+8)/3

m=5/3

Us the point slope form of a linear equation, y-y_1=m(x-x_1), where m is the slope and (x_1,y_1) is one of the points on the line, such as (2,-8).

y-y_1=5/3(x-x_1)

y-(-8)=5/3(x-2)

y+8=5/3(x-2)

Multiply both sides times 3.

3(y+8)=5(x-2)

3y+24=5x-10

Subtract 24 from both sides.

3y=5x-10-24

3y=5x-34

Divide both sides by 3.

y=5/3x-34/3

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