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What is the distance from point A (-2, 1) to point B (1, 3)?

1 Answer

Dec 2, 2017

$\sqrt{13}$ $sqrt13$

Explanation:

To solve this problem we will use the distance formula:

$\sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $sqrt((x_2-x_1)^2+(y_2-y_1)^2$

We just plug in our two given points.
It doesn't matter which you choice to be $(x_{2}, y_{2})$ $(x_2,y_2)$ or $(x_{1}, y_{1})$ $(x_1,y_1)$

For this case I'll let point B = $(x_{2}, y_{2})$ $(x_2,y_2)$ and point A = $(x_{1}, y_{1})$ $(x_1,y_1)$

$\sqrt{{(1 - (- 2))}^{2} + {(3 - 1)}^{2}}$ $sqrt((1-(-2))^2+(3-1)^2$

$\sqrt{{(3)}^{2} + {(2)}^{2}}$ $sqrt((3)^2+(2)^2$ = $\sqrt{13}$ $sqrt(13)$

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