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Unformatted text preview: Slope, Parallelism, & Perpendicularity Given a line in the plane, the ratio of the change in y to the change in x as you move from left to right is the slope of the line. If a line passes through two distinct points P 1 (x 1 , y 1 ) and P 2 (x 2 , y 2 ) where x 1 x 2 , then its slope is given by the formula = Example: Find the slope of the line that passes through the points (-4, 3) and (2, 1). slope m = Parallel and Perpendicular Lines Parallel lines are lines that are in the same plane and do NOT intersect. Example: Perpendicular lines are lines that are in the same plane and intersect to form a right angle . Example: Equations of lines are typically in the form of y = mx + b . This is called slope-intercept form. In this equation, m represents the slope and b represents the y-intercept. Parallel Lines Parallel lines have identical slopes and different y-intercepts. Question 1: What is an equation of a line that is parallel to 3y = x + 2?...
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