Question

What is the slope intercept form of the line passing through `(3,-4)` with a slope of `-5/4`?

Answer 1

Slope intercept form of the line is `y = (-5/4)x -1/4`

Explanation:

Slope intercept form of a line is written as `y = mx + c`

Given `m=(-5/4)` and line is passing through `(3, -4)`, the point `(3, -4)` must satisfy the following slope equation `y = (-5/4)x+ c`

`-4 = (-5/4*3) + c`

`c = - 4+15/4`

`c = -1/4`

Slope intercept form of the line is `y = (-5/4)x -1/4`