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Published byScarlett Reed Modified over 8 years ago

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Slope of Parallel and Perpendicular Lines Geometry 17.0 – Students prove theorems by using coordinate geometry, including various forms of equations of lines.

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Find the Slope of a line parallel

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Find the Slope of a line perpendicular

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Step 1: To find the slope of the line, rewrite the equation in slope-intercept form. 6x – 3y = 9 –3y = –6x + 9 Subtract 6x from each side. y = 2x – 3 Divide each side by –3. The line 6x – 3y = 9 has slope 2. Step 2: Use point-slope form to write an equation for the new line. y – y 1 = m(x – x 1 ) y – (–8) = 2(x – (–5)) Substitute 2 for m and (–5, –8) for (x 1, y 1 ). y + 8 = 2(x + 5) Simplify.

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Step 1: To find the slope of the given line, rewrite the equation in slope-intercept form. 5x + 2y = 1 2y = –5x + 1 Subtract 5x from each side. y = – x + Divide each side by 2. 5252 1212 Step 2: Find the slope of a line perpendicular to 5x + 2y = 1. Let m be the slope of the perpendicular line. Step 3: Use point-slope form, y – y 1 = m(x – x 1 ), to write an equation for the new line.

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