Question

Please help, me and my brother have tried to solve this problem but couldn’t! Thanks!

Answer 1

m = (y1 - y2) / (x1 - x2)

m = zero slope

(I counted the rest of them)

Answer 2

slope between 2 points $(x_1,y_1)$ and $(x_2,y_2)$ is

$slope=\frac{y_2-y_1}{x_2-x_1}$

so

given the points $(4,\frac{-3}{5})$ and $(-4,\frac{-1}{3})$

(x,y)

$x_1=4$

$y_1=\frac{-3}{5}$

$x_2=-4$

$y_2=\frac{-1}{3}$

so the slope is

$slope=\frac{\frac{-1}{3}-\frac{-3}{5}}{-4-4}$

note: -1/3-(-3/5)=-1/3+3/5=-5/15+9/15=4/15, and (a/b)/c=a/(bc)

$slope=\frac{\frac{4}{15}}{-8}$

$slope=\frac{4}{(15)(-8)}$

$slope=\frac{4}{-120}$

$slope=\frac{-1}{30}$

the slope is -1/30