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Proving Relationships of Parallel and Perpendicular Lines

Proving Relationships of Parallel and Perpendicular Lines 1.8 - Solution

arrow_back Return to Proving Relationships of Parallel and Perpendicular Lines

The given line which is written in slope-intercept form, has a slope of Let's remember the definition of the slope of a line. For a slope of for every units we move right the line moves up unit. Recall that the slopes of perpendicular lines are opposite reciprocals. Therefore, a line which is perpendicular to the given line has a slope of We will look for lines such that for every unit we move to the right, the line moves unit down.

From the diagram above, we can see that only line has a slope of Therefore, line is the only perpendicular line to

Extra

Graphing both lines together

Let's graph both lines, and line on the same coordinate plane.