Question

A line is parallel to y = 4x + 1 and

intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [

Answer 1

y = 4x+3

Explanation:

The equation in point slope form is expressed as y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

If a line is parallel to y = 4x + 1, the slope of the line m = 4

Substitute m = 4 and the point (-2, -5) into the equation above;

y - (-5) = 4(x - (-2))

y+5 = 4(x+2)

y+5 = 4x+8

y = 4x+8-5

y = 4x + 3

Hence the equation of the line is y = 4x+3