Algebra : Equations of Parallel and Perpendicular Lines Quiz

Quiz
Quiz Title: Equations of Parallel and Perpendicular Lines
Description
This quiz focuses on determining whether lines are parallel or perpendicular, based on their respective equations. Parallel nonvertical lines have the same slope, m1 = m2 and different y-intercepts, b1 ≠ b2. Perpendicular lines in a plane are lines that intersect at a right or 90 degree angle. Two nonvertical lines are perpendicular if the product of their slopes is -1, that is m1 x m2 = -1. If one line has a slope of m, then the line perpendicular to it will have a slope of -1/m.

Example: Determine if the following two lines are parallel, perpendicular, or neither, based on their equations:
y - 3x = 7,
3x -15 = y
Arrange both equations so they are of the form y = mx +b
y - 3x = 7, add 3x to both sides, which gives y = 3x + 7
3x - 15 = y, which can be rewritten as y = 3x - 15.
Because the slope, m, of each equation is 3, the two lines are parallel to each other.

Group: Algebra Algebra Quizzes
Topic: Algebra



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