Answer
$y=5x+6$
Work Step by Step
The given point is $(0,6)$.
The given equation of the line is
$\Rightarrow y=5x-3$
Slope of the line is $m=5$.
Slope of the parallel line is $m=5$.
The slope-intercept form is
$\Rightarrow y=mx+b$
Substitute $5$ for $m,0$ for $x,$ and $6$ for $y$.
$\Rightarrow 6=5(0)+b$
Simplify.
$\Rightarrow 6=0+b$
$\Rightarrow 6=b$
The equation of the parallel line is
$\Rightarrow y=5x+6$.
