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15 Cards in this Set
- Front
- Back
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The slope of a line is the ratio of the change in y-coordinate, or the ____, to the change in x-coordinate, or the ____, between two points on the line.
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Rise, Run |
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change in y-coordinate / change in x-coordinate = Rise / Run |
Slope
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Slope Using Coordinates We can obtain the rise and run from a graph, or we can get them without a graph by subtracting the y-coordinates to get the rise and the x-coordinates to get the run for two points on the line. The slope m of the line containing the points (x1, y1) and (x2, y2) is given by... |
m = (y2 - y1) / (x2 - x1), provided that x2 - x1 =/= 0 |
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The slope of any horizontal line is.. |
0 |
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The slope of any vertical line is.. |
Undefined |
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Non-vertical parallel lines have.. |
equal slopes. |
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A line is perpendicular to another line if its slope is the negative of the reciprocal of the slope of the other. Two lines with slopes m1 and m2 are perpendicular if and only if.. |
m1 = -(1/m2) |
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Non-vertical parallel lines have _____ slopes. |
equal |
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Find the slope of each line. a) The line through (2, 5) and (6, 3) b) The line through (-2, 3) and (-5, -1) c) The line through (-6, 4) and the origin |
a) -1/2 b) 4/3 c) -2/3 |
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Find the slope of each line. a) The line through (-3, 2) and (4, 2) b) The line through (1, 2) and (1, -4) |
a) 0 b) undefined |
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Line l goes through the origin and is parallel to the line through (-2, 3) and (4, -5). Find the slope of line l. |
-4/3 |
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Determine whether (-3, 2), (-2, -1), (4, 1), and (3, 4) are the vertices of a rectangle. |
Yes, they are the vertices of a rectangle. Mab = -3 Mbc = 1/3 Mcd = -3 Mda = 1/3 |
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Determine whether (-6, 1), (-2, -1), (0, 3), and (4, 1) are the vertices of a parallelogram. |
No, they are not the vertices of a parallelogram. Mab = -1/2 Mbc = 2 Mcd = -1/2 Mda = 0 |
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Determine whether (-3, 2), (-1, -1), (3, 6), and (6, 4) are the vertices of a trapezoid.
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No, they are not the vertices of a trapezoid.
Mab = -1/2 Mbc = 2 Mcd = -1/2 Mda = 0 |
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Determine whether (-4, 4), (-1, -2), (0, 6), and (3, 0) are the vertices of a rectangle. |
No, they are not the vertices of a rectangle.
Mab = -2 Mbc = 8 Mcd = -2 Mda = -4/7 |
