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Coolmath Algebra
Lines Lesson 13 - Parallel Lines (page 2 of 2)
---- This algebra lesson introduces parallel lines and explains how to find the equation of a line that passed through a given point and is parallel to a given line.

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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

and

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

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