For this case we have the following points given:
x1 = 4, y1= -2
x2= 8, y2= -5
And we can find the slope m given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5+2}{8-4}=\frac{-3}{4}[/tex]And then we can use the first point to find the intercept b like this:
-2 = -3/4 (4) +b
-2 = -3 +b
b= -2+3 = 1
And our equation would be given by:
y= -3/4 x+ 1
