Answer
$y=rx+q-rp$
Work Step by Step
Target: $y=mx+b,$ (find m and b).
Slope: Our line has the same slope as the given line since they are parallel.
The given line is written in slope-inercept form and has slope $r$.
Our slope is also $m=r.$
Intercept:
The form of our linear equation is $y=rx+b$
To find b, substitute the coordinates of the given point and solve for b.
$q=r(p)+b\qquad/-rp$
$q-rp=b$
Thus,
$y=rx+q-rp$
