Question for-th
- For the first line in the system:
- The line slants gradually down from left to right.
- The line passes through the following points:
- (0 comma 4)
- (2 comma 2)
- (4 comma 0)
- For the second line in the system:
- The line slants gradually up from left to right.
- The line passes through the following points:
- (0 comma 0)
- (2 comma 2)
- (4 comma 4)
The graph of a system of two linear equations is shown. What is the solution to the system?
For the first line in the system: The line slants gradually down from left to right.
Easy-difficulty · SAT Math · Systems of Two Linear Equations — Graphical solution of two lines. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The solution to this system of linear equations is represented by the point that lies on both lines shown, or the point of intersection of the two lines. According to the graph, the point of intersection occurs when and , or at the point . Therefore, the solution to the system is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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