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

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

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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