Respuesta :

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]