Question

Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol

Answer 1

Step 1: Find the slope:

    $m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} = \dfrac{-9}{6}= -\dfrac{3}{2}$

This gives you $y=-\dfrac{3}{2}x+b$, but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    $\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}$

Now take that b-value and plug in into the slope-intercept form:

     $y=-\dfrac{3}{2}x+4$

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.