Question

Write an equation is point slope form of a line given that the slope is 2/3 and that the line goes through the point (5,-2)

Answer 1

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

Explanation:

Point slope form is shown below:

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

We are given the slope m = 2/3 and the point x1 = 5, y1 = -2

Simply plug in these numbers into the above equation.

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

Simplify:

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