What is the distance between $(1, - 4)$ $(1,-4)$ and $(7, 5)$ $(7,5)$ ?

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Answer 1 · 2017-05-31T13:17:31

10.82

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

First arrange the coordinates as $x_{1}$ $x_1$ , $y_{1}$ $y_1$ etc..

$x_{1} = 1$ $x_1 = 1$
$y_{1} = - 4$ $y_1 = -4$
$x_{2} = 7$ $x_2 = 7$
$y_{2} = 5$ $y_2 = 5$

Now substitute the values into the equation:

$\sqrt{{(7 - 1)}^{2} + {(5 - (- 4))}^{2}}$ $sqrt((7-1)^2 + (5-(-4))^2)$

= $\sqrt{36 + 81}$ $sqrt(36 +81)$

= $\sqrt{117}$ $sqrt(117)$

= 10.82

What is the distance between (1,−4)(1,-4) and (7,5)(7,5)?