Solving Equations Involving Parallel and （涉及并行计算和求解方程）.pdfVIP

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Solving Equations Involving Parallel and （涉及并行计算和求解方程）.pdf

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Solving Equations Involving Parallel and （涉及并行计算和求解方程）

Solving Equations Involving Parallel and Perpendicular Lines Examples 3 3 3 1. The graphs of y = − x – 3, y = − x, and y = − x + 2 4 4 4 are lines that have the same slope. They are parallel lines. Definition of Parallel Lines In a plane, lines with the same slope are parallel lines. Also, all vertical lines are parallel. 2. Example – Find the slope of a line parallel to the line whose equation is 3y – 5x = 15. Parallel lines have the same slope. Find the slope of the line whose equation is 3y – 5x = 15. To do so, write the equation in slope-intercept form (y = mx + b). 3y – 5x = 15 3y = 5x + 15 5 5 The slope of any line parallel to the given line is . y = x + 5 3 3 3. Example – Find the slope of a line parallel to the line whose equation is y – 3x = –5 Parallel lines have the same slope. Find the slope of the line whose equation is y – 3x = –5. To do so, write the equation in slope-intercept form (y = mx + b). y = 3x – 5 The slope of any line parallel to the given line is 3. Solving Equations Involving Parallel and Perpendicular Lines www.BeaconLC.org©2001 September 22, 2001 1 4. Example – Find an equation of the line that passes through (4, 6) and is parallel 2 to the line whose equation is y = x + 5. 3 2