Question

What is the slope intercept form of the line passing through `(4,-8)` with a slope of `5/4`?

Answer 1

So we know that the slope is `5/4`

We can plug that into the equation `y = mx+b` because the m represents the slope

So now we have `y = 5/4x + b`

We also know one coordinate, and that is all that we need.

Plug that coordinate into the equation and we are now solving for one variable, `b`

So, we have `-8 = 5/4(4)+b` by plugging in the coordinate pair

Then we have `-8 = 5+b`
Move the `5` over and we have `b = -13`

Thus, our equation is `y = 5/4x - 13`

And we are done.