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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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**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 ?**In this lesson you will learn how to determine if a**coordinate pair is a solution to an equation by using its graph.**Graph x2 + y2 = 25 by using a table**5 0 -5 0 2 4.6 2 -4.6 3 -4 -3 -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**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**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**In this lesson you have learned how to determine if a**coordinate pair is a solution to an equation by looking at its graph.**Determine if the point (-1,2) satisfies the equation 2x + 4**= y by using its graph.**Describe a third extension activity here if you have a good**one…**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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