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

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

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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