Randolph is creating rectangle WXYZ so that WX has an equation of y = 1 over 4x + 4. Segment XY must pass through the point (−2, 6). Which of the following is the equation for XY? y − 6 = 1 over 4(x − (−2)) y − (−2) = 1 over 4(x − 6) y − 6 = −4(x − (−2)) y − (−2) = −4(x − 6)

Correct option: Third one -> y − 6 = −4(x − (−2))

Step-by-step explanation:

As WX and XY are adjacent sides of a rectangle, they are perpendicular, so their slope are related as follows:

slope1 = - 1 / slope2

So if the slope of WX is 1/4, the slope of XY is -4, so we can model with the equation:

y = -4x + b

as XY pass through the point (-2, 6), we have:

6 = -4*(-2) + b

6 = 8 + b

b = -2

So we have that y = -4x - 2

Correct option: Third one

(y − 6 = −4(x − (−2)) -> y - 6 = -4x - 8 -> y = -4x - 2)

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