Find the equation of the line that passes through (4,4) and is parallel to y = 2 x + 4 . Leave your answer in the form y = m x + c

Answer 1

Hi!

Since we know that parallel lines have the same slope, we know that the slope of the line we are interested in is 2. Therefore, we are after a line defined by the equation,

y = 2x + c

and we know that it must pass through (4,4) so we can solve for c as follows,

4 = 2*4 + c

4 = 8 + c

c = -4

so the equation of the line we are after is

y = 2x -4