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 =

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Presentation transcript:

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. 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.

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

Facts About Special Lines 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

Click to rerun the slideshow. Lines: Slope END OF PRESENTATION Click to rerun the slideshow.