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Using Graphs to Determine the Number of Solutions

Question 8 • (AG Q4) Keystone Algebra 1 Block: 25-26 (DDiamond)

Sadira estimated the solution of a system of equations is approximately (–3.7, 2.2). What can be concluded of the graph that represents the system of this solution? Check all that apply.

Answer
A
The x-coordinate of the intersection point is between 2 and 3.
B
The y-coordinate of the intersection point is between 2 and 3.
C
The y-coordinate of the intersection point is between –3 and –4.
D
The x-coordinate is closer to –4 than –3.
E
The y-coordinate is closer to –4 than –3.

Explanation

The estimated intersection is (–3.7, 2.2). Its y-coordinate, 2.2, is between 2 and 3, so choice B is correct. Its x-coordinate, –3.7, is 0.3 from –4 and 0.7 from –3, so it is closer to –4; choice D is correct.

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