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4.1,4.6: Midpoints and Slope

4.1,4.6: Midpoints and Slope. Midpoint. The midpoint of a line segment is the point directly in the middle of the segment. If you are given two coordinates (x 1 ,y 1 ) and (x 2 ,y 2 ) use the following formula to find the midpoint: where M is the midpoint. Example 1.

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4.1,4.6: Midpoints and Slope

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  1. 4.1,4.6: Midpoints and Slope

  2. Midpoint • The midpoint of a line segment is the point directly in the middle of the segment. • If you are given two coordinates (x1,y1) and (x2,y2) use the following formula to find the midpoint: • where M is the midpoint.

  3. Example 1 • Find the coordinates of the midpoint of each side of △WAY W (2,4) A (-2,-2) Y (6,-2)

  4. Example 2 • Given: is a diameter of ʘO • Find: the coordinates of O W(1,3) O C(-3,-1)

  5. Slope • The slope of a line is a comparison between the amount a line rises to the amount it moves left or right. • If you are given two coordinates (x1,y1) and (x2,y2) use the following formula to find the slope: • where m is the slope of the line

  6. Example 3 • Find the slope of the line containing (7,5) and (-3,2).

  7. Example 4 • Are (12,18), (15,25), and (21,39) collinear? (Hint: to be collinear all three pairs of points must have the same slope)

  8. Parallel and perpendicular lines • Parallel lines are lines that have the same slopes. • Perpendicular lines have opposite reciprocal slopes.

  9. Example 5 • Is ∠A a right angle? Justify your answer. D(1,5) Y(7,5) A(4,1)

  10. Example 6 • What is the slope of the line parallel to the line containing (5,-3) and (9,-1)?

  11. Assignment • Worksheet 4.1,4.6

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