Answer
I) $y=5x-8$
Work Step by Step
A line can be defined by the formula $y=mx+b$, where m is the slope of the line and b is the y-intercept.
If two lines are parallel, then by definition they have the same slope.
Substitute the given values for the parallel line into the slope-intercept formula to find the y-intercept. We know the slope is 5, and we have been given a pair of points that are on the line.
$y=mx+b$
Substitute.
$-3=5(1)+b$
Subtract 5 from each side.
$-3-5=5+b-5$
Simplify.
$-8=b$
So the slope of the parallel line is 5 and the y-intercept is -8. Substitute these values into the slope-intercept formula to create an equation for the line.
$y=mx+b=5x-8$
