SOLUTION: How do I figure this out. Parallelogram JKLM has vertices J(0,7), K(9,7), amd L(6,0). Find the coordinates of M

Question 245175: How do I figure this out.
Parallelogram JKLM has vertices J(0,7), K(9,7), amd L(6,0). Find the coordinates of M
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use the slope formula:

Where

and

are the coordinates of points J and K to calculate the slope of the line containing the segment JK.

Use the fact that parallel lines have equal slopes to write an equation of the line that contains segment LM. Use the point-slope form of the equation of a line:

Where

is the slope you just calculated and

are the coordinates of point L. Call this equation 1.

Repeat the above process with segment KL and point J to write an equation of the line containing the segment JM. Call this equation 2.

The line represented by equation 1 and the line represented by equation 2 will intersect at point M. Solve the system of equations. The solution set will be the coordinates of point M.

John

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