Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.
so we know a parallel line will have slope -4
we have a point on the line so we will use point slope formula to solve. y-y1=m(x-x1) where (x1,y1) is point on line so we get y-4=-4(x-0) to put in slope intercept form we solve for y y-4=-4x y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
