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

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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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