Write an equation for the line described. Write the equation in the form specified.
-perpendicular to $7 x - 6 y = 2$, through $( 8 , - 9 )$; standard form
A) $6 x - 7 y = - 15$
B) $8 x + 6 y = 2$
C) $6 x + 7 y = - 15$
D) $7 x + 6 = 7$

Question

Quizplus · Accepted Answer

The slope of the line $7x - 6y = 2$ is $\frac{7}{6}$. A line perpendicular to it will have a slope of $-\frac{6}{7}$. Using the point-slope form with point $(8, -9)$, the equation is $y + 9 = -\frac{6}{7}(x - 8)$. Converting to standard form gives $6x + 7y = -15$.

Write an Equation for the Line Described 7x−6y=27 x - 6 y = 27x−6y=2

Write an Equation for the Line Described $7 x - 6 y = 2$