Distance between points (1,2) and (4,6) is

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

Distance between points (1,2) and (4,6) is

Explanation:
Think about distance in the plane as the length of the straight line between the two points. The horizontal change from (1,2) to (4,6) is 4 − 1 = 3, and the vertical change is 6 − 2 = 4. Those differences form the legs of a right triangle, so use the Pythagorean theorem: distance = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units.

Think about distance in the plane as the length of the straight line between the two points. The horizontal change from (1,2) to (4,6) is 4 − 1 = 3, and the vertical change is 6 − 2 = 4. Those differences form the legs of a right triangle, so use the Pythagorean theorem: distance = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units.

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