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SLOPE The ratio of the vertical change to the horizontal change.

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Presentation on theme: "SLOPE The ratio of the vertical change to the horizontal change."— Presentation transcript:

1

2 SLOPE The ratio of the vertical change to the horizontal change

3 IN LAYMAN’S TERMS:

4 HOW IT’S FIGURED: STEEPNESS = ___________________ VERTICAL CHANGE HORIZONTAL CHANGE SLOPE (m) = ___________________ Change in Y-axis Change in X-axis **OR**

5 WORK TIME! Find the slope of a line that contains points A(-2, 5) B(4, -5)

6 HERE’S HOW YOU SOLVE IT: SLOPE (m) = ___________________ Change in Y-axis Change in X-axis m of line AB = ___________________ 5 – (-5) -2 - 4 = ___________________ 10 -6 = ___________ 5 3 -

7 NOW TRY THESE ON YOUR OWN Find the slope of a line that contains each pair of points: 1.R(9, -2) S(3, -5) 2.M(7, -4) N(9, 4)

8 True or False?? ALL HORIZONTAL LINES HAVE THE SAME SLOPE

9 TWO LINES MAY HAVE THE SAME SLOPE

10 A LINE WITH A SLOPE OF 1 PASSES THROUGH THE ORIGIN

11 THE ANSWERS! #1: All horizontal lines have the same slope. TRUE #2: Two lines may have the same slope. TRUE #3: A line with a slope of 1 passes through the origin. FALSE

12 Use the Slope to Graph a Line  You will need an ordered pair and the slope  Graph the line that passes through (1,4) and has a slope.


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