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5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.

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Presentation on theme: "5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical."— Presentation transcript:

1 5-6 PARALLEL AND PERPENDICULAR LINES

2 Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical lines are PARALLEL if they have the same slope and different y-intercepts. Vertical lines are parallel if they have different X-intercepts. PARALLEL LINES

3 A line passes through (12,5) and is parallel to the graph of. What equation represents the line in slope-intercept form? 1.) m = 2.) Write the equation in point-slope. 3.) Rewrite in slope-intercept form. EXAMPLE

4 Graph and on the same coordinate plane. Perpendicular Lines: lines in the same plane that intersect to form right angles Two non-vertical lines are PERPENDICULAR if the product of their slopes is -1. A vertical line and horizontal line are always perpendicular. Two numbers whose product is -1 are opposite reciprocals. PERPENDICULAR LINES

5 A line passes through (1,8) and is perpendicular to the graph of. What equation represents the line in slope-intercept form? 1.) m = *To find opposite reciprocal, take reciprocal of slope, then write its opposite. 2.) Write the equation in point-slope form. 3.) Rewrite the equation in slope-intercept form. EXAMPLE

6 HOMEWORK: P. 361-362 #’S 6-20 EVEN, 24-28


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