AlgebraHardDistance from the origin to an intersection point
Algebra practice question
In the xy-plane, the lines y = x + 1 and y = −2x + 10 intersect at point P. What is the distance from P to the origin?
Answer: 5
x + 1 = −2x + 10 → 3x = 9 → x = 3, y = 4. Distance from (0, 0) to (3, 4) is √(9 + 16) = 5.
Common wrong answers
- If you answered 4
- 4 is the y-coordinate of P.
- If you answered 7
- 7 is 3 + 4, the sum of the coordinates.
- If you answered 25
- 25 is the square of the distance.
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