Find the equation of the line. Write the equation using standard notation.
-Through $( 2,2 )$; perpendicular to the line $2 x - 7 y = 2$
A) $2 x + 7 y = 18$
B) $7 x - 2 y = 18$
C) $2 x - 7 y = 18$
D) $7 x + 2 y = 18$

Question

Quizplus · Accepted Answer

The slope of the line $2x - 7y = 2$ is $\frac{2}{7}$. A line perpendicular to it will have a slope of $-\frac{7}{2}$. Using the point-slope form with point $(2,2)$, the equation is $y - 2 = -\frac{7}{2}(x - 2)$. Converting to standard form gives $7x + 2y = 18$.

Find the Equation of the Line (2,2)( 2,2 )(2,2) ; Perpendicular to the Line

Find the Equation of the Line $( 2,2 )$ ; Perpendicular to the Line