What is the distance between $(23, - 3)$ $(23,-3)$ and $(24, - 7)$ $(24,-7)$ ?

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Answer 1 · 2018-04-23T00:16:40

using distance formula
$d = \sqrt{17}$ $d=sqrt17$

distance formula: $d = \sqrt{{(x 2 - x 1)}^{2} + {(y 2 - y 1)}^{2}}$ $d=sqrt((x2-x1)^2+(y2-y1)^2)$

where $x 1 = 23$ $x1=23$

$y 1 = - 3$ $y1=-3$

$x 2 = 24$ $x2=24$

$y 2 = - 7$ $y2=-7$

putting all these values in the formula above

$d = \sqrt{{(24 - 23)}^{2} + {(- 7 + 3)}^{2}}$ $d=sqrt((24-23)^2+(-7+3)^2$

simplifying

$d = \sqrt{{(1)}^{2} + {(- 4)}^{2}}$ $d=sqrt((1)^2+(-4)^2$
$d = \sqrt{1 + 16}$ $d=sqrt(1+16$
$d = \sqrt{17}$ $d=sqrt17$

What is the distance between (23,−3)(23,-3) and (24,−7)(24,-7)?