Question

How do you write the equation in point slope form given Point: (1, -7); Slope: -2/3?

Answer 1

`y+7=-2/3(x-1)`

Explanation:

The point-slope form of a linear equation is:

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

where:

`m` is the slope, and `(x_1,y_1)` is the point.

`m=-2/3`

`(x_1,y_1)=(1,-7)`

Plug in the known values.

`y-(-7)=-2/3(x-1)` `larr` Two negatives make a positive.

`y+7=-2/3(x-1)`