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Lines: Slope

Lines: Slope. The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. As a formula, slope = m. Here, ( x 1 , y 1 ) and ( x 2 , y 2 ) are two points on the line. Lines: Slope.

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Lines: Slope

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  1. Lines: Slope The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. As a formula, slope = m Here, (x1, y1) and (x2, y2) are two points on the line.

  2. Lines: Slope Example 1: Find the slope of the line that contains the points (- 5, 3) and (4, 0). Here, x1 = - 5, y1 = 3, x2 = 4, and y2 = 0.

  3. Geometric Interpretation of slope: In example 1, means the line falls (because of the negative) 1 unit for every three units to the right as shown by the red arrows on the graph. Lines: Slope Slide 2

  4. Lines: Slope Example 2: Find the slope of the line that contains the points (- 1, 3) and (- 1, - 2). which is undefined. Slide 2

  5. Lines: Slope In example two, the slope was found to be undefined. Here the two points lie on a vertical line. Facts About Special Lines The slope of a vertical line is undefined. The slope of a horizontal line is zero. Parallel lines have the same slope. Perpendicular lines slopes that are opposite in sign and reciprocals of each other. Slide 3

  6. Lines: Slope END OF PRESENTATION

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