Find an equation for the line with the given properties.
-Parallel to the line x - 5y = 5; containing the point (0, 0)
A) $y = \frac { 1 } { 5 } x + 5$
B) $y = - \frac { 4 } { 5 }$
C) $y = \frac { 1 } { 5 } x$
D) $y = - \frac { 1 } { 5 } x$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line x - 5y = 5 can be rewritten in slope-intercept form (y = mx + b) as y = $ \frac { 1 } { 5 } x - 1$, where $ \frac { 1 } { 5 }$ is the slope. A line parallel to this must have the same slope, $ \frac { 1 } { 5 }$, and pass through (0, 0), which means its equation is y = $ \frac { 1 } { 5 } x$, because when x = 0, y = 0.

Find an Equation for the Line with the Given Properties y=15x+5y = \frac { 1 } { 5 } x + 5y=51​x+5

Find an Equation for the Line with the Given Properties $y = \frac { 1 } { 5 } x + 5$