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:
- (negative 7 comma 0)
- (negative 4 comma negative 3)
- (0 comma negative 7)
- For the second line in the system:
- The line slants gradually up from left to right.
- The line passes through the following points:
- (negative 5 comma negative 4)
- (negative 4 comma negative 3)
- (negative 3 comma negative 2)
The graph of a system of 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 C is correct. The solution to a system of linear equations is represented by the point that lies on the graph of each equation in the system, or the point where the lines intersect on a graph. On the graph shown, the two lines intersect at the point . Therefore, the solution to the system is .
Choice A is incorrect. This is the y-intercept of the graph of one of the lines shown, not the intersection point of the two lines.
Choice B 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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