Find the distance (units) between points A(-1, 4) and B(7, -2).
10

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Solution

The correct option is A 10
Given: A(-1, 4) and B(7, -2)

The distance between two points $(x_{1}, y_{1}) a n d (x_{2}, y_{2})$ is given by $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} .$

AB = $\sqrt{(7 + 1)^{2} + (- 2 - 4)^{2}}$
AB = $\sqrt{(8)^{2} + (- 6)^{2}}$
AB = $\sqrt{64 + 36}$
AB = $\sqrt{100}$
AB = 10 units

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