Given the image of the quadrilateral, we are asked to find some slopes and the length of the sides.
Explanation
Part A
The formula for slope is given as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]1) Slope Of MJ
[tex]\begin{gathered} x_1,y_1=(-4,-4) \\ x_2,y_2=(2,1) \\ m=\frac{1-(-4)}{2-(-4)}=\frac{1+4}{2+4}=\frac{5}{6} \end{gathered}[/tex]Answer: 5/6
2) Slope of ML
[tex]\begin{gathered} x_{1}, y_{1}=(-4,-4) \\ x_2,y_2=(2,-6) \\ m=\frac{-6-(-4)}{2-(-4)}=\frac{-6+4}{2+4}=-\frac{2}{6} \end{gathered}[/tex]Answer: -2/6
3) Slope Of Lk
[tex]\begin{gathered} x_1,y_1=(2,-6) \\ x_2,y_2=(8,-1) \\ m=\frac{-1-(-6)}{8-2}=\frac{-1+6}{6}=\frac{5}{6} \end{gathered}[/tex]Answer: 5/6
4) Slope of JK
[tex]\begin{gathered} x_1,y_1=(2,1) \\ x_{2}, y_{2}=(8,-1) \\ m=\frac{-1-1}{8-2}=-\frac{2}{6} \end{gathered}[/tex]Answer: -2/6