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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 all
work.

Respuesta :

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].