Slope intercept equation:
y=mx+b
Where:
m= slope
b= y-intercept
Apply the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Where:
(x1,1) = (9,2)
(x2,y2)= (-12.-12)
Replacing:
[tex]m=\text{ }\frac{-12-2}{-12-9}=\frac{-14}{-21}=\frac{2}{3}[/tex]So far we have:
y=2/3x+b
Replace (x,y) by a coordinate point , for example (9,2) and solve for b:
2= 2/3(9)+b
2= 6 +b
2-6= b
-4= b
Final equation:
y= 2/3x-4
