Find an equation for the line with the given properties.
-Passing through $( 3,5 )$ and perpendicular to the line whose equation is $y = 8 x + 7$; point-slope form
A) $y - 5 = - \frac { 1 } { 8 } ( x - 3 )$
B) $y - 5 = \frac { 1 } { 8 } ( x + 3 )$
C) $y - 3 = \frac { 1 } { 8 } ( x - 5 )$
D) $y = - 8 x - 43$

Question

Quizplus · Accepted Answer

The slope of the given line is 8, so the slope of a line perpendicular to it is $-\frac{1}{8}$. Using the point-slope form $y - y_1 = m(x - x_1)$ with point $(3,5)$ and slope $-\frac{1}{8}$, we get $y - 5 = -\frac{1}{8}(x - 3)$.

Find an Equation for the Line with the Given Properties (3,5)( 3,5 )(3,5)

Find an Equation for the Line with the Given Properties $( 3,5 )$