1. Graph Proportional Relationships

2. x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 Origin x-axis y-axis back

3. x y –2 2 2 –4 4 4 –1 –3 –5 5 3 1 1 3 5 0 –3 –5 –1 Quadrant I Quadrant IV Quadrant II Quadrant III Origin x-axis y-axis Back

4. Ordered pair (3, 2) x-coordinate y-coordinate Moves right if positive Moves left if negative Moves up if positive Moves down if negative Not in notes

5. 2 4 6 8 10 12 12345 14 16 18 20 22 Make a table of equal ratio. Step 1 EX 1)Mark ran 2 mi in 16 min Miles min 2 16 1 8 3 24 Graph coordinates in quadrant one. Step 2 Connect points.Step 3 The line passes through the origin and forms a straight line. So, the relationship of Miles to Minutes is proportional. Miles MinutesMinutes ● ● ● 0

6. 2 4 6 8 10 12 12345 EX 2) Graph the table to see if proportional. Rocks123 ounces5811 The line does not passes through the origin. So, the relationship of Rocks to ounces is not proportional. ● ● ● 0

7. Essential Question How does graphing proportional relationships help you determine whether the relationship is proportional or not?

8. Graph Proportional Relationships Date ___________

10. 2 4 6 8 10 12 12345 14 16 18 20 22 Step 1 EX 1)Mark ran 2 mi in 16 min Miles min Step 2 Step 3 Miles MinutesMinutes 0

11. 2 4 6 8 10 12 12345 EX 2) Graph the table to see if proportional. Rocks123 ounces5811 0

12. Essential Question How does graphing proportional relationships help you determine whether the relationship is proportional or not?