4.7 Parallel and Perpendicular Lines

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Presentation transcript:

4.7 Parallel and Perpendicular Lines Parallel lines have the same slope. All vertical lines are parallel. All horizontal lines are parallel. Perpendicular lines have opposite reciprocal slopes. If m = 3, then the m = -1/3 If m = -2/3, then the m = 3/2

Write an equation of the line that is parallel to the graph of 2x + y = 5 and passes through the point (3,1). Since the slope is -2. Using the point (3,1) and the parallel slope of -2, plug all into the point-slope form Distribute Add 1 to both sides

Use point-slope form with slope = -6 and point given (2,4) Write an equation of the line that is perpendicular to the graph of x - 6y = 2 and passes through the point (2,4). Use point-slope form with slope = -6 and point given (2,4)

Try These Two to Practice! Write the slope-intercept form of an equation for the line that passes through (4,-2) and is parallel to the graph of Write the slope-intercept for of an equation for the line that passes through (4,-1) and is perpendicular to the graph of

Page 239 #1-7 odd 1. y = -2x -1 3. y = 2x – 5 5. Find the slope of segment AC 6/7 Find the slope of segment BD -7/6 They are opposite reciprocal slopes therefore they are perpendicular. 7. Homework #32: p. 240 10-30, 36, 37

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