Brian F. answered • 10/22/20

Patient & Energetic Math Tutor

Hey Kyndall,

A parallel line will have the same slope as the given line. To find the slope of the given line, put -3y = -6x + 1 into y-intercept form:

y = mx + b, where m is the slope and b is the y-intercept

We can now use the slope you just found, m, to find the equation for a line the passes through the point (9, 0). For this, we use point-intercept form:

y + y_{1} = m(x + x_{1}), where y_{1 }is the point's y-value and x_{1} is its x-value

After plugging in for m, y_{1}, and x_{1}, solve by again translating the equation to y-intercept form.

Hope this helps!