SLOPE

1. SLOPE • The steepness or flatness of a line. • M • Change in Y / Change in X • Rate of Change • Rise/Run • Vertical Change/Horizontal Change

2. Where can you find slope? y = mx + b The m spot is the slope. Whatever number is to the left of the x when y is by itself, is called the SLOPE! What is the slope in y = 4x – 6 ? The slope is 4.

3. Where can you find slope? Slope appears in a table! The change in the y’s is 9. The change in the x’s is 6. The slope is 9/6 or 3/2. x y • 0 • 9 • -2 -9 6 9

4. Where can you find slope? (3,1) (-4,3) Slope can be found from ordered pairs using the table method in the 3rd slide. Put these ordered pairs into a table and find the change in the y’s and the change in the x’s. The change in the y’s is 2. The change in the x’s is –7. The slope is 2/-7 x y 3 1 -4 3 -7 2

5. Where can you find slope? y Go up 2, then right 1 and you land back on the line. The slope is 2/1 or 2. Right 1 Up 2 x

6. Undefined or Zero Slopes Not all lines have a slope!!! X = 3 This line has and undefined slope. Y = -2 This line has a slope of 0.

7. You can find slope! • Try this: • Y = x + 2 m =_____ • Y = 4x m =_____ • (2,-3) (-5,4) m =_____ 5. • x y • 6 -1 • 11 -6 • 13 -8 m=___ M=___

8. Answers: • 1 • 4 • -1 • -1 • -1/2