Answer:
y=8x+38
Step-by-step explanation:
<em>First, let's solve for our slope.We would use the equation m=y2-y1/x2-x1.</em>
1. Label your points as x1 y1 and x2 y2.
(-4,6) (x1,y1) and (-5,-2) (x2-y2)
2. Plug your points into the equation: m=y2-y1/x2-x1
m= -2-6/-5-(-4)
m=-8/-1
m=8
<em>Now we have our slope. To find b, we need to plug our coordinates.</em>
1. Take one of your coordinates and plug in the x and y. First use (-4,6)
y=8x+b --> 6=8(-4)+b
2. Multiple 8(-4) and move to the other side of the equation in order to get b by itself.
6=-32+b
6+32=b
38=b
<em>Now repeat the process with the other coordinate. (-5,-2)</em>
y=8x+b ---> -2=8(-5)+b
-2=-40+b
-2+40=b
38=b
<em>Your final equation is:</em>
y=8x+38
