AlgebraEasyWhat a system's solution looks like on a graph
Algebra practice question
In the xy-plane, the solution of a system of two linear equations with exactly one solution is the point where the two graphs ____
- A. intersect.Correct
- B. cross the x-axis.
- C. cross the y-axis.
- D. are farthest apart.
Answer: A. intersect.
A point satisfies both equations exactly when it lies on both lines, which is where they meet.
Why the other answers are wrong
- B. cross the x-axis.
- The x-intercepts are usually different points.
- C. cross the y-axis.
- The y-intercepts are usually different points.
- D. are farthest apart.
- Lines that cross are not "farthest apart" anywhere.
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