03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The.

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Presentation transcript:

03.03 SKM & PP 1 Slope

03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The denominator can’t be zero.

03.03 SKM & PP 3 A Slope Triangle P 1 (x 1, y 1 ) RUN x 2 - x 1 RISE y 2 - y 1 P 2 (x 2, y 2 ) RISE y 2 - y 1 x 2 - x 1 RUN

03.03 SKM & PP 4 m

03.03 SKM & PP 5 Compute the Slope (-2, -3) (4, -1) upwards

03.03 SKM & PP 6 Another Slope (-4, -3) (0, 5) upwards

03.03 SKM & PP 7 Compute this Slope (-5, 2) (4, -1) DOWNWARDS

03.03 SKM & PP 8 Compute the Slope (-5, -1) (4, -1) HORIZONTAL

03.03 SKM & PP 9 Compute the Slope (-4, -5) (-4, 0) VERTICAL

03.03 SKM & PP 10 SLOPE BASICS  POSITIVE SLOPE  The line rises from left to right.  ZERO SLOPE  The line is HORIZONTAL (zero rise)  NEGATIVE SLOPE  The line falls from left to right.  UNDEFINED SLOPE  The line is VERTICAL (zero run)

03.03 SKM & PP 11 Practice Problem 1a Determine the slope of the line containing points P 1 and P 2. RUN = 3 RISE = 2 The line rises from left to right.

03.03 SKM & PP 12 Practice Problem 1b Determine the slope of the line containing points P 1 and P 2. The slope is undefined. Vertical Line

03.03 SKM & PP 13 Practice Problem 1c Determine the slope of the line containing points P 1 and P 2. RUN = 2 RISE = -1 The line falls from left to right.

03.03 SKM & PP 14 Practice Problem 1d Determine the slope of the line containing points P 1 and P 2. RUN = 6 RISE = 0 The line is Horizontal.

03.03 SKM & PP 15 That’s All for Now!