Question

Can any equation in point-slope form also be written in slope-intercept form?

Answer 1

Yes

Explanation:

The way the equation is written in point-slope form is:

`y-y1=m(x-x1)`

The way we write an equation in slope-intercept form is:

`y=mx+b`

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

`y=mx-(m*x+y1)` where
`(m*x+y1) = b`

which is now in slope intercept form.