Find an equation for the line with the given properties.
-Passing through $( 4,5 )$ and parallel to the line whose equation is $y = - \frac { 1 } { 8 } x + 9$ slope-intercept form
A) $y = - \frac { 1 } { 8 } x + \frac { 11 } { 2 }$
B) $y = \frac { 1 } { 8 } x - \frac { 11 } { 2 }$
C) $y = - \frac { 1 } { 8 } x - \frac { 11 } { 2 }$
D) $y = - 8 x - 44$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line has a slope of $-\frac{1}{8}$. Using the point-slope form of a line, $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line, we substitute $m = -\frac{1}{8}$ and $(x_1, y_1) = (4, 5)$ to find the equation of the new line. Simplifying, we get $y = -\frac{1}{8}x + \frac{11}{2}$, which matches choice A.

Find an Equation for the Line with the Given Properties (4,5)( 4,5 )(4,5)

Find an Equation for the Line with the Given Properties $( 4,5 )$