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# How do you use a graph to determine if a coordinate pair is a solution to an equation?

How do you use a graph to determine if a coordinate pair is a solution to an equation?. For example, how do you use a graph to determine if (3,2) is a solution to x 2 + y 2 = 25 ?.

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## How do you use a graph to determine if a coordinate pair is a solution to an equation?

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1. How do you use a graph to determine if a coordinate pair is a solution to an equation? For example, how do you use a graph to determine if (3,2) is a solution to x2 + y2 = 25 ?

2. In this lesson you will learn how to determine if a coordinate pair is a solution to an equation by using its graph.

3. Graph x2 + y2 = 25 by using a table 5 0 -5 0 2 4.6 2 -4.6 3 -4 -3 -4

4. The graph of an equation represents all of its solutions. x + y = 4 (2,2) 2 + 2 = 4 (5,-1) 5 + -1 = 4 (0,4) 0 + 4 = 4

5. Is (3,2) a solution to the equation x2 + y2 = 25 ? (3,2) is not a solution because it does not lie on the curve. Check: 32 + 22 ≠ 25

6. Is (-4,-3) a solution to the equation x2 + y2 = 25 ? (-4,-3) is a solution because it lies on the curve. Check: (-4)2 + (-3)2 = 25

7. In this lesson you have learned how to determine if a coordinate pair is a solution to an equation by looking at its graph.

8. Determine if the point (-1,2) satisfies the equation 2x + 4 = y by using its graph.

9. Describe one extension activity here…

10. Describe another extension activity here…

11. First, graph the equation by making a table. Then, determine if the point lies on the graph. • (-1,1) –x + 4y = 5 • (2,3) x2 + 7 = y

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