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What are the equations for parallel and perpendicular lines?
Two equations govern perpendicular and parallel lines: For parallel lines, the slope of the first line is the same as the slope for the second line. If the slopes of these two lines are called and , then . Perpendicular lines are slightly more difficult to understand.
How to find the slope of a parallel line?
For questions 1 to 6, find the slope of any line that would be parallel to each given line. For questions 7 to 12, find the slope of any line that would be perpendicular to each given line. For questions 13 to 18, write the slope-intercept form of the equation of each line using the given point and line.
How are parallel lines different from vertical lines?
Perpendicular, parallel, horizontal, and vertical lines are special lines that have properties unique to each type. Parallel lines, for instance, have the same slope, whereas perpendicular lines are the opposite and have negative reciprocal slopes. Vertical lines have a constant -value, and horizontal lines have a constant -value.
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