Question

X-1

Answer 1

Answer:

E. -1/2

Step-by-step explanation:

When two lines are said to be perpendicular to each other, the slope of one is the negative reciprocal of the other.

Therefore, given that $\frac{x - 1}{4}$ is the slope of $\overline{QR}$, and ⁸/3 is the slope of $\overline{ST}$, if both lines are perpendicular, it means that the slope of $\overline{ST}$ would be the negative reciprocal of the slope of $\overline{QR}$.

Therefore:

$\frac{x - 1}{4} = -\frac{3}{8}$

Cross multiply

$(x - 1)(8) = (-3)(4)$

$8x - 8 = -12$

Add 8 to both sides

$8x = -12 + 8$

$8x = -4$

Divide both sides by 8

$x = \frac{-4}{8}$

$x = \frac{-1}{2}$