Find the equation of the following line: Perpendicular to - 8x + y - 3 = 0; (4, 3) on line.
A) y = - $\frac { 1 } { 8 }$ x - $\frac { 7 } { 2 }$
B) y = - 8x - 28
C) y = - $\frac { 1 } { 8 }$ x + $\frac { 7 } { 2 }$
D) y = $\frac { 1 } { 8 }$ x - $\frac { 7 } { 2 }$

Question

Quizplus · Accepted Answer

The slope of the given line is 8 (from -8x + y = 3, or y = 8x + 3). A line perpendicular to it will have a slope that is the negative reciprocal, which is -1/8. Using the point (4, 3) and the slope -1/8, the equation can be found using y - y1 = m(x - x1), leading to y = -1/8x + 7/2.

Find the Equation of the Following Line: Perpendicular to - 18\frac { 1 } { 8 }81​

Find the Equation of the Following Line: Perpendicular to - $\frac { 1 } { 8 }$