Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
defition of slope(m) of a line:
[tex]m=\frac{Y_b-Y_a}{X_b-X_a}[/tex]
A=(-1,-5)=(Xa,Ya) then Xa= -1 and Ya= -5
B=(3,-3)=(Xb,Yb) then Xb=3 and Yb= -3
[tex]m=\frac{-3-(-5)}{3-(-1)} \\\\m=\frac{-3+5}{3+1} \\\\m=\frac{2}{4} \\\\m=\frac{1}{2}[/tex]