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 x 2 + y 2 = 25 ?. - PowerPoint PPT PresentationTRANSCRIPT
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.
Let’s Review
Graph x2 + y2 = 25 by using a table
X Y
5 0
-5 02 4.6
2 -4.6
3 -4
-3 -4
Core Lesson
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
Core Lesson
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
Core Lesson
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.
Guided Practice
Determine if the point (-1,2) satisfies the equation 2x + 4 = y by using its graph.
Extension Activities
Describe one extension activity here…
Extension Activities
Describe another extension activity here…
Extension Activities
Describe a third extension activity here if you have a good one…
Quick Quiz
First, graph the equation by making a table. Then, determine if the point lies on the graph.
1) (-1,1) –x + 4y = 5
2) (2,3) x2 + 7 = y