Answer
a.)undefined
b.)0
c.)$\frac{1}{2}$
d.)$\frac{4}{3}$
Work Step by Step
a.) (2,-3) and (2,5)
Slope formula m =$\frac{y2-y1}{x2-x1}$ = $\frac{5+3}{2-2}$ = $\frac{8}{0}$ = undefined
b.)(3,-2)and (-7,-2)
Slope formula m =$\frac{y2-y1}{x2-x1}$ = $\frac{-2+2}{-7-3}$ = $\frac{0}{-10}$ = 0
c.)(-4,1) and (4,5)
Slope formula m =$\frac{y2-y1}{x2-x1}$ = $\frac{5-1}{4+4}$ = $\frac{4}{8}$ = $\frac{1}{2}$
d.)(x-2,y-3) and(x+4,y+5)
Slope formula m =$\frac{y2-y1}{x2-x1}$ = $\frac{y+5-y+3}{x+4-x+2}$ = $\frac{8}{6}$ = $\frac{4}{3}$