Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
8. Slopes of Parallel and Perpendicular Lines
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Exercise 37 Page 203

Remember that a horizontal line and a vertical line are always perpendicular to each other.

Yes, see solution.

Practice makes perfect
Let's begin by recalling that a horizontal line and a vertical line are always perpendicular to each other. Now let's take a look at the given equations.

y&=3 x&=-2 The first equation is satisfied for all points that have y-value equal to 3, so it represents the horizontal line. The second equation, however, is satisfied for all points that have x-value that equals -2, so it represents the vertical line.

Since any horizontal line is perpendicular to any vertical line, the lines represented by the given equations are perpendicular.