Question

Question #ca344

Answer 1

`y-5=2(x+2)`

Explanation:

Point slope form is written in the form,
`y-y_1=m(x-x_1)`
Where `y` is your output, `y_1` is a `y`-value on your line, `m` is your slope (given as 2 here), `x` is your input, and `x_1` is `y_1`'s corresponding `x`-value.

In your case, you are given all the things you need to write your equation in point-slope form. Simply plug in your `m` (`2`), your `x_1` (`-2`), and your `y_1` (`5`) which should merit:

`y-5=2(x+2)`

Remember that the `x`-side of the equation is `x-x_1`, so you would really end up with
`"stuff"=2(x--2)`
Which simplifies to
`"stuff"=2(x+2)`