8. Line AB passes through A(-2,4) and B(-8,-6).Line PT passes through P(3,-1) and T(8,-2).a) Calculate the slopes of both lines. Show allwork.

Answer:AB : [tex]\frac{5}{3}[/tex]PT : [tex]-\frac{1}{5}[/tex]Step-by-step explanation:The line AB passes through A(-2,4) and B(-8,-6) points. Therefore, the slope of the line AB will be [tex]\frac{4-(-6)}{-2-(-8)} =\frac{5}{3}[/tex] (Answer) Again line PT passes through P(3,-1) and T(8,-2) points. Therefore, the slope of the line PT will be [tex]\frac{-1-(-2)}{3-8} =-\frac{1}{5}[/tex]. (Answer) Here we have applied the formula of slope of a straight line passing through the points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2}  )[/tex] as given by [tex]\frac{y_{1}-y_{2}  }{x_{1}-x_{2}  }[/tex].