Exercise 10 Page 160

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

Neither, see solution.

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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	( - 3,1) & ( - 7,- 2)	- 2- 1/- 7-( - 3)	- 3/- 4	3/4
2	( 2,- 1) & ( 8,4)	4-( - 1)/8- 2	5/6	5/6

These lines have different slopes so they cannot be parallel. We can determine if they are perpendicular by multiplying the slopes. 3/4 * 5/6=15/24 Since the product of the slopes does not equal -1, they are not perpendicular either. Therefore, the lines are neither parallel nor perpendicular.

Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162

Exercise 10 Page 160

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