Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-9,-3) $, perpendicular to $ 7 x+8 y=-87 $
A) $ y=\frac{8}{7} x+\frac{51}{7} $
B) $ y=\frac{8}{7} x $
C) $ y=\frac{7}{8} x-51 $
D) $ y=-\frac{8}{7} x-\frac{51}{7} $

Question

Quizplus · Accepted Answer

The slope of the line perpendicular to $7x + 8y = -87$ is $-\frac{7}{8}$ (negative reciprocal of the original slope $ \frac{7}{8} $). Using the point $(-9, -3)$ to solve for $b$ in $y = mx + b$, we get $b = \frac{51}{7}$. Therefore, the correct equation is $y = -\frac{8}{7}x + \frac{51}{7}$.

Find an Equation in Slope-Intercept Form (Where Possible) for the Line