Randolph is creating parallelogram WXYZ so that XY has an equation of y = 2 over 3x −5. Segment WZ must pass through the point (−6, −1). Which of the following is the equation for WZ? y − (−6) = 2 over 3(x − (−1)) y − (−1) = 2 over 3(x − (−6)) y − (−6) = 3 over 2(x − (−1)) y − (−1) = 3 over 2(x − (−6))

Step-by-step explanation:

From the given data

WZ must pass through the point (−6, −1)

line goes through WZ (y = ax + b) has same slope as line goes through XY (y = (2/3)x - 5)

⇒ a = (2/3)

As we all know that, opposite side in parallelogram are parallel to each other

∴ WZ will have the same slope

that is

∴ to find the equation of WZ which is passing through the point (−6, −1).

and having slope of  

y = mx + b

x = -6 and y = -1

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