McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
4. Parallel and Perpendicular Lines
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Exercise 38 Page 243

How do you know if lines are parallel or perpendicular?

Parallel

Practice makes perfect
Lines are parallel if their slopes are exactly the same, and perpendicular if their slopes are negative reciprocals. Any other relationship between the slopes would result in neither parallel nor perpendicular lines. Let's write both equations in slope-intercept form, highlighting their slopes.
Given Equation Slope-intercept form Slope
2x+7y=-35 y= -2/7x-5 m_1= -2/7
4x+14y=-42 y= -2/7x-3 m_2= -2/7

Since the lines have equal slopes, we can conclude that they are parallel.