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**5.7 Parallel and Perpendicular Lines**

Parallel Lines - 2 lines that never intersect They have the same slope m1 = m2 They have different y-intercepts b1 ≠ b2 Perpendicular Lines - 2 lines that intersect They create 4 right angles They have different slopes (m1)(m2) = -1 They can have the same y-intercept

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**Identify the lines as parallel or perpendicular.**

Ex A) 2x + 5y = x + 10y = 18 Line 1 Line 2 2x + 5y = 7 4x + 10y = 18 -2x -2x -4x -4x 5y = -2x + 7 10y = -4x + 18 5 5 5 10 10 10 Parallel

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**Ex B) Line 1 Line 2 3x + 6y = 8 -3x -3x 6y = -3x + 8 6 6 6**

(m1)(m2) = -1 Perpendicular

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**Write an equation in slope-intercept form that is parallel to the given line and**

passes through the given point. Ex C) Point-Slope Form Slope-Intercept Form

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**Write an equation in slope-intercept form that is parallel to the given line and**

passes through the given point. Ex D)

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Point-Slope Form Slope-Intercept Form

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**Ex E) m= opposite and reciprocal**

Write an equation in slope-intercept form that is perpendicular to the given line and passes through the given point. Ex E) m= opposite and reciprocal Point-Slope Form Slope-Intercept Form

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**Write an equation in slope-intercept form that is perpendicular to the given line**

and passes through the given point. Ex F)

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Point-Slope Form Slope-Intercept Form

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