Question

How do you write the equation `y-7=-3/4(x+5)` in slope intercept form?

Answer 1

`y=-3/4x+13/4`

Explanation:

The slope-intercept form of a line is `y=mx+b`. In order to convert the above equation into this form, isolate `y` and simplify the right-hand side.

`y-7=-3/4(x+5)`

`y=-3/4(x+5)+7`

`y=-3/4x-15/4+7`

`y=-3/4x-15/4+28/4`

`y=-3/4x+13/4`