Question

Write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7)?

Answer 1

`y=2x-13`

Explanation:

(6, −1) and (3, −7)

First, you find the slope of the two points.

`(-7-(-1))/(3-6) = (2)/(1) =2`

Then, you substitute slope and a point into the y = mx + b equation.

`-1 = 2(6) + b`

Next, you solve the equation to find b.

`-1 = 2(6) + b\\-1 = 12 + b\\-13 = b`

Finally, you have your slope and y-intercept. Now you just write your equation.

`y=2x-13`