What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Question

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

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Khải Quang 6 months 2021-07-29T00:16:26+00:00 1 Answers 41 views 0

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    2021-07-29T00:18:02+00:00

    Answer:

    17 units

    Step-by-step explanation:

    Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

    Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

    d = √(15² + 8²) = √289 = 17

    The distance between the given points is 17 units.

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