y=mx+b
First find the slope (m) by substracting the y's divide by substracting x's
m=[13-(-2)]/[-4-6]
m=(13+2)/-10
m=15/-10 reduces to -3/2
y=(-3/2)x+b
Substitute one of the points into the equation to get the b
(6,-2) where x=6 and y=-2
-2=(-3/2)(6)+b
-2= -9+b
Add 9 to both sides
7=b
the final equation is
y=(-3/2)x+7
You can check by putting both the points into the equation
(6,-2)
-2=(-3/2)(6)+7
-2=-9+7
-2=-2 checks
(-4,13)
13=(-3/2)(-4)+7
13=6+7
13=13 checks
