Find the equation of the following line: Parallel to y = - $\frac { 1 } { 4 }$ x + 8; (4, 4) on line.
A) y = - $\frac { 1 } { 4 }$ x + 5
B) y = - 4x - 20
C) y = $\frac { 1 } { 4 }$ x - 5
D) y = - $\frac { 1 } { 4 }$ x - 5

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line has a slope of -1/4, so the parallel line will also have a slope of -1/4. Using the point (4, 4) and the slope -1/4 in the point-slope form equation, y - y1 = m(x - x1), we get y - 4 = -1/4(x - 4). Simplifying this equation gives y = -1/4x + 5, which matches option A.

Find the Equation of the Following Line: Parallel to Y 14\frac { 1 } { 4 }41​

Find the Equation of the Following Line: Parallel to Y $\frac { 1 } { 4 }$