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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

5. Equations of Parallel and Perpendicular Lines

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Exercise 11 Page 160

Parallel lines have the same slope but different y-intercepts. Perpendicular lines have slopes that are opposite reciprocals of one another.

Perpendicular, see solution.

Practice makes perfect

Parallel lines have the same slope but different y-intercepts. Perpendicular lines have slopes that are opposite reciprocals of one another. Therefore, to determine if the lines are parallel, perpendicular, or neither, we first need to find their slopes using the Slope Formula.

Line	Points	y_2-y_1/x_2-x_1	m	Simplest form
1	( - 9,3) & ( - 5,7)	7- 3/- 5-( - 9)	4/4	1
2	( - 11,6) & ( - 7,2)	2- 6/- 7-( - 11)	- 4/4	- 1

These lines have different slopes so they cannot be parallel. We can determine if they are perpendicular by multiplying the slopes. 1 * (- 1)=- 1 Since the product of the slopes equals -1, they are perpendicular.

Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162