Question

Find the distance between the points (2, −3) and (−4, −7).

Answer 1

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Answer:  $7.21$

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Given:  $\textsf{(2, -3) and (-4, -7)}$

Find: $\textsf{Find the distance between the two points}$

Solution:  Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

• $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

• $d = \sqrt{(-4-2)^2+(-7-(-3))^2}$

Simplify and expand

• $d = \sqrt{(-6)^2+(-7+3))^2}$

• $d = \sqrt{(-6)^2+(-4))^2}$

• $d = \sqrt{36+14}$

• $d = \sqrt{52}$

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21