Question

What is the slope intercept form of the line passing through `(12,7)` with a slope of `-1/5`?

Answer 1

`y=-1/5x+47/5`

Explanation:

Given
Slope `-1/5`
Point `(12,7)`

The slope-point form of the line given slope `m` and point `(x_1,y_1)` is

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

Let us plug in the given values

`y-7=-1/5(x-12)`

Remember this is not what we need. We need the equation to be in slope intercept form.

The slope intercept form : `y=mx+b` where `m` is the slope and `b` is the `y-`intercept.

We now have to simplify our equation from slope point form to get our answer.
`y-7=-1/5x + 12/5` `quad` distributing `-1/5`
Adding 7 to both the side

`y=-1/5x +12/5+7`

`y=-1/5x+ 47/5` answer.