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Slope Supplement 2 Find a slope Graphing with Slope

Slide 2

Slope Slope describes the direction of a line.

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Guard against 0 in the denominator Slope If x 1 x 2, the slope of the line through the distinct points (x 1, y 1 ) and (x 2, y 2 ) is Why is this needed ?

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x-axis y-axis Find the slope between (-3, 6) and (5, 2) Rise Run -4 8 2 ==

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Find the slope between (-3, 6) and (5, 2)

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Find the Slope (5, -2) (11, 2) (3, 9) Green Blue Red

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Find the slope between (5, 4) and (5, 2). STOP This slope is undefined.

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x-axis y-axis Find the slope between (5, 4) and (5, 2). Rise Run -2 0 Undefined ==

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Find the slope between (5, 4) and (-3, 4). STOP This slope is zero.

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x-axis y-axis Find the slope between (5, 4) and (-3, 4). Rise Run 0 -8 Zero ==

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From these results we can see... The slope of a vertical line is undefined. The slope of a horizontal line is 0.

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x-axis y-axis Graph the line that goes through (1, -3) with (1,-3)

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Using Slope to Graph Graph the line that contains (4, 5) and has a slope of 3/2. (4, 5) (6, 8) (8, 11)

Slide 14

Using Slope to Graph Graph (0, 8) (4, 5) (8, 2)

Slide 15

Slope Worksheet 10 points Find the slope of the lines that contain the following pairs of points. a.(2, 3) and (-4, -5) b.(0, 0) and (2, 3) c.(3, 0) and (7, 4) d.(7, 4) and (3, 0) e.(2, 3) and (2, -5) Sketch a graph of the following lines. 1. y = 4x 8 2. y = -3x + 6 3. 4. 5.