The slope is the change in y OVER change in x
1.
Change in y's = -1 - 5 = -6
Change in x's = x - (-1) = x +1
Slope = -6
So,
[tex]\frac{-6}{x+1}=-6[/tex]Cross multiply and sovle for x:
[tex]\begin{gathered} \frac{-6}{x+1}=-6 \\ -6(x+1)=-6 \\ -6x-6=-6 \\ 6x=0 \\ x=0 \end{gathered}[/tex]2.
Similar process to #1.
Change in y's = 2 - y
Change in x's = 2 - (-1) = 2 + 1 = 3
Slope given 4/3, hence
[tex]\begin{gathered} \frac{2-y}{3}=\frac{4}{3} \\ \end{gathered}[/tex]Cross multiply and solve for y:
[tex]\begin{gathered} \frac{2-y}{3}=\frac{4}{3} \\ 3(2-y)=3(4) \\ 3(2-y)=12 \\ 6-3y=12 \\ 3y=6-12 \\ 3y=-6 \\ y=-\frac{6}{3} \\ y=-2 \end{gathered}[/tex]