Question

What is the point-slope form of the line that passes through (8,12) and (2,7)?

Answer 1

`y-12=5/6(x-8)`

Explanation:

Point slope form of a line that passes through `(8,12)` and `(2,7)`.

First, find the slope using the slope formula.

`m=(y_2-y_1)/(x_2-x_1)=(7-12)/(2-8)--5/-6=5/6`

Next, use the point-slope formula. You may choose either point as `(x_1,y_1)`. I will choose the first point.

`y-y_1=m(x-x_1)`

`y-12=5/6(x-8)`