Answer:
[tex]y= -\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Slope intercept form :
y = mx + b
m is the slope
b is the y-intercept
Let's look for m, use the formula [tex]\frac{(y_{1}-y_{2} ) }{(x_{1} -x_{2} )}[/tex] to determine it.
[tex]\frac{-9 - (-2)}{12 - (-2)}[/tex] [tex]= -\frac{1}{2}[/tex]
[tex]y = -\frac{1}{2}x+b[/tex]
Now find b, we simply need to plug in one of our coordinates to get our answer.
(12, -9)
[tex]-9=-\frac{1}{2} (12)+b[/tex]
Solve for b :
-9 = -6 + b
-3 = b
b = -3
Our slope intercept is :
[tex]y = -\frac{1}{2}x - 3[/tex]
