Question

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? a.) y − 6 = 1 over 4(x − (−2)) b.) y − (−2) = 1 over 4(x − 6) c.) y − 6 = −4(x − (−2)) d.) y − (−2) = −4(x − 6)

Answer 1

Answer:

The correct option is;

c.) y - 6 = -4(x - (-2))

Step-by-step explanation:

We note that the figure Randolph is creating is a rectangle, therefore, we have;

$\overline{WX}\perp \overline{XY}$, therefore, we have;

$\overline{WX} = \dfrac{1}{4} x + 4$

∴ Slope $\overline{WX}$ = 1/4

$\overline{XY}$ must pas through the point (-2, 6)

Given that $\overline{WX}\perp \overline{XY}$, we have;

$Slope \ \overline{XY} = \dfrac{-1}{Slope \ \overline{WX}}$

$\dfrac{y - 6}{x - (-2)} = -1/\dfrac{1}{4} = -4$

y - 6 = -4(x - (-2))

Therefore, the correct option is c.) y - 6 = -4(x - (-2)).