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Consider the given equation.
$y=4x−5 $
Recall that parallel lines have the same slope. Because of this, we know that *all* lines that are parallel to the given one will have a slope of $4.$ We can write a *general* equation in slope-intercept form for all the lines that are parallel to the given line.
$y=4x+b $
Now we have to find the value of the $y-$intercept. To do so, we will substitute the given point $(-1,5)$ in the above equation, and solve for $b.$
Now that we know the value of the $y-$intercept, we write the equation of the parallel line to $y=4x−5$ through $(-1,5).$
$y=4x+9 $

$y=4x+b$

$5=4(-1)+b$

Solve for $b$

$b=9$