MATH SOLVE

4 months ago

Q:
# The vertices of a parallelogram are J(?5, 0), K(1, 4), L(3, 1), and M(?3,?3). Find the slope of each side. Slope of JK = slope of KL = slope of LM = slope of MJ =

Accepted Solution

A:

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.