15: Graph Proportional Relationships What is the Coordinate Plane ? What are the Quadrants ? What are Ordered Pairs ? II I III IV (2, 9) The coordinate plane is a type of grid that is formed when two number lines intersect at their zero points. The number lines separate the coordinate plane into four regions called quadrants . An ordered pair is a pair of numbers, such as (2, 9), used to graph points on the coordinate plane. What is the XCoordinate ? What is the YCoordinate ? Identify Proportional Relationships : Example 1a: Page 46 xcoordinate ( 2 , 9 ) ycoordinate James earns $5 an hour babysitting. Determine whether the amount of money James earns babysitting is proportional to the number of hour he babysits by graphing on the coordinate plane. Explain your reasoning. The xcoordinate corresponds to a number on the xaxis. The ycoordinate corresponds to a number on the yaxis. If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional . Example 2b: Page 47 The table shows the number of Calories an athlete burned per minute of exercises. Determine whether the number of Calories burned is proportional to the number of minutes by graphing on the coordinate plane. Explain your reasoning. Calories Burned # of # of Minute Calorie s s 0 0 1 4 2 8 3 13 Summary:
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