Question

How do you find the slope and y intercept for `(y - 3) = 5(x + 2)`?

Answer 1

Answer: The slope is `5` and the y-intercept is `13`.

Problem: Find slope and y-intercept for the equation `y-3=5(x+2)`.

The given equation is in point-slope form. Convert it to slope-intercept form by solving for `y`: `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

Solve the equation for `y`.

Distribute the `5` on the right side of the equation.

`y-3=5x+10`

Add `3` to both sides of the equation.

`y=5x+13`

The slope is `5` and the y-intercept is `13`.