Question

Question #b97a7

Answer 1

`y=-1/4x+2` and `y+3=7(x+1)`

Explanation:

Slope intercept form is `y=mx+b`, where `m` is the slope and `b` is the y-intercept. Since `m=-1/4` and `b=2`, plug those in to get `y=-1/4x+2`.

The general equation for point-slope form is `(y-k)=m(x-h)`, where `m` is slope and `(h,k)` is some point on the line.
We'll use `(-1,-3)` as `(h,k)` for this line. For the `(y-k)` part, we have `y-(-3)`, or `y+3`.
Likewise, `(x-h)=(x-(-1)), or x+1`.

Plugging in this information gives us `y+3=7(x+1)`.

You know, the really beautiful thing about algebra is that it allows us to measure the unknown! Have fun!