Question

A line parallel to the line y=4x - 3 that passes through point (3,13)

Answer 1

So you know the new equation must have the same slope as the old equation since they're parallel to one another. Next just simply take the slope and the point given and plug them into the point-slope formula and you have your new equation:
y-y1=m(x-x1) --- Point-Slope Formula
y-13=4(x-3)
y=4x+1 --- Answer