How do you find the distance between (7,2), (-5,7)?

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Answer 1 · 2018-03-30T12:16:53

$13$

The easiest way to find the distance between two points is to use the distance formula:
$d = sqrt((x_2 - x_1)^2 + (y_2-y_1)^2$

It looks really complicated and confusing, but I'll help you through it.

Remember that points are in the form: $(x,y)$ .

Now all we have to do is substitute those into the equation and solve. Here goes nothing:

$d = sqrt((x_2 - x_1)^2 + (y_2-y_1)^2$

$d = sqrt((-5 - 7)^2 + (7-2)^2$

$d = sqrt((-12)^2 + (5)^2$

$d = sqrt(144 + 25$

$d = sqrt169$

$d = 13$

So the distance between $(7,2)$ and $(-5,7)$ is $13$ .