Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(0, 4), y = -4x + 5

Answer 1

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)