AlgebraHardConstants from a known intersection
Algebra practice question
In the xy-plane, the lines y = mx + 3 and y = 2x + b intersect at the point (2, 7), where m and b are constants. What is the value of m + b?
Answer: 5
7 = 2m + 3 gives m = 2, and 7 = 4 + b gives b = 3. So m + b = 5.
Common wrong answers
- If you answered 2
- 2 is m alone.
- If you answered 3
- 3 is b alone.
- If you answered 7
- 7 is the y-coordinate of the intersection.
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