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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

8. Slopes of Parallel and Perpendicular Lines

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Exercise 26 Page 202

How do you know if lines are parallel?

Yes, see solution.

Practice makes perfect

Lines are parallel if their slopes are identical. Let's write each equation in slope-intercept form, highlighting their slopes.

Given Equation	Slope-Intercept Form	Slope
2x+5y=-1	y= -2/5x-1/5	m_1= -2/5
10y=-4x-20	y= -2/5x-2	m_2= -2/5

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

Subchapter links

Lesson Check p.201

Practice and Problem-Solving Exercises p.201-204

Standardized Test Prep p.204

Mixed Review p.204