Write an equation for the line described. Write the equation in the form specified.
-perpendicular to $5 x - 9 y = - 20$, through $( 5 , - 5 )$; standard form
A) $5 x + 9 y = - 20$
B) $9 x - 5 y = 20$
C) $9 x + 5 y = 20$
D) $5 x + 9 = 5$

Question

Quizplus · Accepted Answer

The slope of the line $5x - 9y = -20$ is $\frac{5}{9}$. A line perpendicular to it will have a slope of $-\frac{9}{5}$. Using the point-slope form with point $(5, -5)$, the equation is $y + 5 = -\frac{9}{5}(x - 5)$. Converting to standard form gives $9x + 5y = 20$.

Write an Equation for the Line Described 5x−9y=−205 x - 9 y = - 205x−9y=−20

Write an Equation for the Line Described $5 x - 9 y = - 20$