1. Introduction To Slope

2. Slope is a measure of Steepness.

3. Types of Slope Positive Negative Zero Undefined or No Slope

4. Slope is sometimes referred to as the “rate of change” between 2 points.

5. The letter “m” is used to represent slope. Why?

6. If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – x 1

7. The formula may sometimes be written as m =∆y. ∆x What is ∆ ?

8. Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

9. (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔

10. Find the slope of the line containing the following points. a) (1, 0) and (-2, 1) b) (2, 3) and (5, -2) c) (3, 3) and (1, -1)

11. What if the numerator is 0? What if the denominator is 0?

12. If given an equation of a line, there are 2 ways to find the slope and y-intercept.

13. One method is to write the equation in slope-intercept form, which is y = mx + b. slope y-intercept

14. Find the slope and y-intercept of the following equations. y = 3x + ½ slope= 3 y-intercept = ½

15. 3x + 5y = 10 First, solve the equation for y. 3x + 5y = 10 5y = -3x + 10 y = -3/5 x + 2 m= -3/5b = 2

16. The slope is the coefficient of x. (you might have to solve for y first) Find the slope of these equations. a) y = -2x + 1m = b) 3y + 2x = -9 m = c) x – y = 4 m =

17. Another method to find the slope if given an equation of a line is to write the equation in the form Ax + By = C. m = -A/B, b = C/B

18. Find the slope and y-intercept of the following equations. 8x + 11y = 7 ABC m= -8/11b = 7/11

19. -6x = 2y + 14 First, rewrite the equation in the form Ax + By = C. -6x - 2y = 14 m= 6/-2 b = 14/-2 m= -3 b = -7

20. If given the graph of a line, find the slope by using the “triangle” method to find the rise over run.

21. rise = 4 run = 5 m= rise run m= 4/5

22. The End