Three vertices of parallelogram JKLM are J(1, 4), K(5, 3), and L(6,−3). Find the coordinates of vertex M.

coordinates of vertex M is (x, y) = (2, -2)

Step-by-step explanation:

Since JKLM is a  parallelogram, this implies that JK parallel to LM and KL parallel to JM. This means that

Slope of JK = slope of LM

And

Slope of KL = slope of JM

From equation (i) and (ii) we get

Put the value of x in equation (ii) we get

So, the coordinates of vertex M is (x, y) = (2, -2).

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step-by-step explanation:

11279

2.83941151 would be the answer you're looking for! : )