Honors Geometry Companion Book, Volume 1

3.2.4 Slopes of Parallel and Perpendicular Lines - Practice

1.  The equations of four lines are given. Identify which lines are parallel. Line 1: = − y x

2.  Show that quadrilateral ABCD is a parallelogram.

1 2

6 Line 2: x − 2 y = − 1 Line 3: y = 4 x + 6 Line 4: + = − y x 3

1 4

( 6)

4.  Write an equation in slope-intercept form for the line containing the point (2, 1) and parallel to = − y x .

3.  Write an equation in slope-intercept form for the line that is parallel to y = − 7 x − 8 and that passes through the point (7, − 8).

5 3

1 3

6.  Write an equation in slope-intercept form for the line containing the point (0, 7) and perpendicular to =− + y x .

5.  Write an equation in slope-intercept form for the line perpendicular to y = 2 x − 3 that passes through the point ( − 3, − 3).

5 4

11 4

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