What is the distance between the points (-2, 4) and (5, 4)?

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Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

What is the distance between the points (-2, 4) and (5, 4)?

Explanation:
When two points share the same y-coordinate, the distance between them is just the horizontal gap between their x-values. Here the y-values are both 4, so the vertical change is zero. The horizontal change is 5 minus negative 2, which is 7. Using the distance formula to confirm: sqrt((5 - (-2))^2 + (4 - 4)^2) = sqrt(7^2 + 0^2) = sqrt(49) = 7. So, the distance is 7.

When two points share the same y-coordinate, the distance between them is just the horizontal gap between their x-values. Here the y-values are both 4, so the vertical change is zero. The horizontal change is 5 minus negative 2, which is 7. Using the distance formula to confirm: sqrt((5 - (-2))^2 + (4 - 4)^2) = sqrt(7^2 + 0^2) = sqrt(49) = 7. So, the distance is 7.

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