Respuesta :
Answer:
The slope of JK is 2/3.
The slope of KL is -3/2.
The slope of LM is 2/3.
The slope of MJ is -3/2.
Step-by-step explanation:
Consider the provided vertices.
We can find the slope by using the value.
[tex]Slope=m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The vertices of a parallelogram are J(-5, 0), K(1, 4), L(3, 1), and M(-3,-3).
Find slope of JK by using the points J(-5, 0) and K(1, 4).
[tex]m=\frac{4-0}{1-(-5)}=\frac{2}{3}[/tex]
The slope of JK is 2/3.
Find slope of KL by using the points K(1, 4) and L(3, 1).
[tex]m=\frac{1-4}{3-1}=\frac{-3}{2}[/tex]
The slope of KL is -3/2.
Find slope of LM by using the points L(3, 1) and M(-3,-3).
[tex]m=\frac{-3-1}{-3-3}=\frac{2}{3}[/tex]
The slope of LM is 2/3.
Find slope of MJ by using the points M(-3,-3) and J(-5, 0).
[tex]m=\frac{0+3}{-5+3}=\frac{3}{-2}[/tex]
The slope of MJ is -3/2.
