STEP 1:  Find the slope

2y - 4x = 1 ... Get it in y = mx + b form.  So, solve for y.  ...add 4x to both sides of the equation, which gives 2y = 4x + 1 ... divide both sides by 2, which gives y = 2x + 1 / 2 ... the slope = 2

STEP 2:  Use the point-slope form with the point
           (
-3 , 5 )
and the slope of 2

y - y1 = m ( x - x1 ) ... y - 5 = 2 ( x - ( -3 ) ) ... y - 5 = 2 ( x + 3 ) ... y - 5 = 2x + 6 ... y = 2x + 11 ... Done!

I'll let you check our answer by graphing both lines to see if they are really parallel!

Graph  2y - 4x = 1 and y = 2x + 11

on the same graph.


YOUR TURN:

Find the equation of the line that passes through the point ( 1 , -2 ) and is parallel to the line

3x + 5y = -1