Knowing the slope and y-intercept of a line you can put its equation in slope-intercept form. The slope-intercept form equation of a line is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept. In this case, since the slope is 4 and the y-int. is -3, our equation must be [tex]\boxed{y=4x-3}[/tex]