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Proving Relationships of Parallel and Perpendicular Lines

Proving Relationships of Parallel and Perpendicular Lines 1.7 - Solution

arrow_back Return to Proving Relationships of Parallel and Perpendicular Lines

Let's start by remembering the definition of the slope of a line. The given line which is written in slope-intercept form, has a slope of This means that for every unit we move right, the line moves up units. Recall that parallel lines have the same slope. Let's look at the given diagram for a line with a slope of

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

Extra

Graphing both lines together

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