Question

Find the distance between each pair (-4,6) (3,-7)

Answer 1

So here we must use the distance formula.

It is:
$\sqrt{(y2 - y1) ^{2} + (x2 - x1) ^{2} }$
So say (-4,6) is pair one
and ( 3, -7) is pair two

so
$\sqrt{ ( - 7 - 6)^{2} + ({3 - ( - 4)})^{2} }$

From there we simplify
-7 -6 is -13 and 13 squared is 169
3 - (-4) is 7 and 7 squared is 49
169 plus 49 is 218
square root of 218

$\sqrt{218}$
You xan not simplify square root of 218, so your exact answer will be square root of 218.