1. The slope of a line refers to the steepness of a line or how far it leans over. We look at a line from left to right.

2. The slope of a line refers to the steepness of a line or how far it leans over. positive A line that goes up has a positive slope.

3. The slope of a line refers to the steepness of a line or how far it leans over. negative A line that goes down has a negative slope.

4. The slope of a line refers to the steepness of a line or how far it leans over. zero A horizontal line has a slope of zero.

5. The slope of a line refers to the steepness of a line or how far it leans over. undefined A vertical line has a slope that is undefined.

6. The slope of a line has a numerical value. We use a formula to find that number.

7. To use the formula you need two ordered pairs.

8. Find the slope of the line containing the points (2, 6) and (1, 3). A positive slope means this line goes up from left to right.

9. Find the slope of the line containing the points (5, 7) and (1, 9). A negative slope means this line goes down from left to right.

10. Find the slope of the line containing the points (2, 5) and (6, 5). Zero on top equals zero A zero slope means this line is horizontal.

11. Find the slope of the line containing the points (-2, 3) and (-2, 8). Zero on bottom equals undefined. (denominator) An undefined slope means this line is vertical.

12. To use the formula you can also use a table of values. table

13. Find the slope of the line containing the points in the table below. XY 3– 4 6– 10 9– 16 Choose 2 ordered pairs from the table. It doesn’t matter which 2 you choose. Let’s use these

14. ( 3, – 4 ) and ( 6, –10 )

15. You can find the numerical value of the slope of a line by looking at the equation of the line. The equation must be in SLOPE INTERCEPT FORM. SLOPE INTERCEPT FORM.

16. y = mx + b m stands for slope b stands for y-intercept

17. y = mx + b y and x are just variables

18. y = mx + b Sometimes this is a minus sign if b is a negative number

19. y = mx + b As an abbreviation for Slope Intercept Form, we will say SIF.

20. Find the slope of the graph of the equation y = 4x + 7

21. y = mx + b Find the slope of the graph of the equation y = 4x + 7 m stands for slope. What number is in the place of m? m = 4 Let’s do another example.

22. y = mx + b Find the slope of the graph of the equation m stands for slope. What number is in the place of m?