The slope-intercept form of the equation of a line looks like: y = mx + b
where m = slope and (0,b) is the y-intercept.
The line y=4x-7 is given in slope-intercept form.
All lines parallel to this one have the same slope (m=4).
The one with y-intercept (0,5) has the equation:
y = 4x + 5