There are special rules to help us find the equation of a line given an equation of a line that is parallel or perpendicular to it. Parallel and perpendicular lines have related slopes. Parallel lines have equivalent slopes and perpendicular lines have negative inverses of their slopes. To fully understand and apply this concept, we should be familiar with the slope and the slope-intercept form of an equation.
Sample Problems (3)
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Write the equation of the line parallel to y = 2x − 4 through the point (1,3).
Write the equation of the line perpindicular to y = 2x − 4 that contains the point (1,3).
Write the equation of the line perpindicular to 2y + 3x = 4 through the point (-1,2).