What is the distance between $(2,-4)$ and $(-1,-1)$ ?

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Answer 1 · 2018-04-16T04:24:17

The distance is $3sqrt2$ .

The distance formula is:
$d = sqrt((x_2-x_1)^2+(y_2-y_1)^2)$

Since we have the value of two points, we can plug them into the distance formula:

$d = sqrt((-1-2)^2 + (-1-(-4))^2)$

And now simplify:
$d = sqrt((-3)^2 + (-1+4)^2)$

$d = sqrt(9 + (3)^2)$

$d = sqrt(9 + 9)$

$d = sqrt(18)$

$d = sqrt(9 * 2)$

$d = sqrt9 * sqrt2$

$d = 3sqrt2$

The distance is $3sqrt2$ .

Hope this helps!

What is the distance between (2,-4)(2,-4) and (-1,-1)(-1,-1)?