Question

Find the distance between the two points in simplest radical form.
(-3, -4) and (-7, -9)

Answer 1

√ [41]

Explanation:

Determine how much x and y each change, and then apply the Pythagorean Theorem to find the length of the hypotenuse (which is also the desired distance between the two points):

Moving from (-7, -9) to (-3, -4), x increases by 4 and y increases by 5.

Thus, the length of the hypotenuse / distance between the two points) is

d = √ [4² + 5² ] = √ [41]

Answer 2

√41 units

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