Algebra 1 Companion Book, Vol 1 – Summer Edition

5.2.3 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 ABCD is a trapezoid.

1 2 6 = −

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

1 4 ( 6) + = −

3.  Show that quadrilateral ABCD is a parallelogram.

4.  The equations of four lines are given. Identify which lines are perpendicular. Line 1: y = 3 Line 2: y x 1 2 2 =− +

Line 3: x = 8 Line 4: y − 5 = 2 ( x − 3)

6.  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.  Show that quadrilateral PQRS is a rectangle.

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