1. WARM UP
Determine the constant rate of change and determine if it linear or not?

2. Determine slope of a line from a graph, table and two points

3. vertical change horizontal change
Linear equations have constant slope. For a line on the coordinate plane, slope is the following ratio:
vertical change horizontal change
change in y change in x =
This ratio is often referred to as , or “rise
over run,” where rise indicates the number of units moved up or down and run indicates the number of units moved to the left or right.
rise run

4. Slope can be positive, negative, zero, or undefined.
A line with positive slope goes up from left to right.
A line with negative slope goes down from left to right.

6. Find the slope of the line

7. Find the slope of the line

8. The table shows the total cost of fruit per pound purchased at the grocery store. Find the slope of the line and explain what it shows.
Graph the data.

9. The table shows the total cost of gas per gallon
The table shows the total cost of gas per gallon. Find the slope of the line and explain what it shows.
Graph the data.
Cost of Gas
Gallons
Cost 3 6 12

10. Find the slope of each table:

11. If you know any two points on a line, or two solutions of a linear equation, you can find the slope of the line without graphing.
The slope of a line through the points
(x1, y1) and (x2, y2) is as follows:
y2 – y1
x2 – x1

12. Find the slope of the line that passes through (1, 2) and (8, 10).

13. Find the slope of the line that passes through (–2, –3) and (4, 6).

14. 3-1
Slope of a Line
Find the slope of the line that passes through (–4, –6) and (2, 3).
Find the slope of the line that passes through (2, 6) and (4, 6).

15. The ordered pair (3,5) is on a graph. The slope is .
What are two more ordered pairs on the graph?
3 5

16. The ordered pair (-4,7) is on a graph. The slope is - .
1 3
The ordered pair (-4,7) is on a graph. The slope is
What are two more ordered pairs on the graph?

18. Warm Up
Find the slope of the line that passes through (4, 3) and (4, 8).

19. WARM UP
Find the slope. A. B.