Given points are (-1,-1) and (-3,5).
Now we have to find equation of line in slope intercept form y=mx+b
Let's find slope (m) first using formula :
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-\left(-1\right)}{-3-\left(-1\right)}=\frac{5+1}{-3+1}=\frac{6}{-2}=-3[/tex]
Now we can plug m=-3 and any point says (-3,5) into formula y=mx+b
5=-3(-3)+b
5=9+b
5-9=b
-4=b
Now plug m=-3 and b=-4 into formula y=mx+b. We get:
y=-3x-4
Hence final answer is y=-3x-4.
