What is the distance between the points (4, -1) and (4, 6)?

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Prepare for the GMAS 6th Grade Mathematics Test. Utilize flashcards, multiple choice questions, and detailed explanations to enhance your skills. Maximize your chances of success!

Multiple Choice

What is the distance between the points (4, -1) and (4, 6)?

Explanation:
When two points share the same x-coordinate, the distance between them is just the vertical distance between their y-values. Here the x-values are both 4, so we look at the y-values -1 and 6. The difference is 6 minus (-1), which is 7. The distance is the absolute value of that difference: |6 - (-1)| = 7. You can also see this with the distance formula: sqrt((4-4)^2 + (6 - (-1))^2) = sqrt(0 + 7^2) = sqrt(49) = 7. So the distance is 7.

When two points share the same x-coordinate, the distance between them is just the vertical distance between their y-values. Here the x-values are both 4, so we look at the y-values -1 and 6. The difference is 6 minus (-1), which is 7. The distance is the absolute value of that difference: |6 - (-1)| = 7. You can also see this with the distance formula: sqrt((4-4)^2 + (6 - (-1))^2) = sqrt(0 + 7^2) = sqrt(49) = 7. So the distance is 7.

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