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Proving Relationships of Parallel and Perpendicular Lines

Proving Relationships of Parallel and Perpendicular Lines 1.15 - Solution

arrow_back Return to Proving Relationships of Parallel and Perpendicular Lines

Lines are perpendicular if their slopes are negative reciprocals. Let's write each equation in slope-intercept form and highlight their slopes.

Given Equation Slope-intercept form Slope
To determine whether or not they are perpendicular, we calculate the product of the slopes. Any two slopes whose product equals are negative reciprocals, and therefore the lines are perpendicular.
The lines are not perpendicular.