What is the distance between $(- 1, - 5)$ $(-1, -5)$ and $(8, 7)$ $(8, 7)$ ?

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Answer 1 · 2016-03-04T16:42:49

The distance $= 15$ $=15$

The coordinates are:
$(- 1, - 5) = x_{1}, y_{1}$ $(-1,-5) = color(blue)(x_1,y_1$
$(8, 7) = x_{2}, y_{2}$ $(8,7)= color(blue)(x_2,y_2$

The distance is calculated using formula:
distance $= \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $=sqrt((x_2-x_1)^2 + (y_2-y_1)^2$

$= \sqrt{{(8 - (- 1))}^{2} + {(7 - (- 5))}^{2}}$ $=sqrt((8-(-1))^2 + (7-(-5))^2$

$= \sqrt{{(8 + 1)}^{2} + {(7 + 5)}^{2}}$ $=sqrt((8+1)^2 + (7+5)^2$

$= \sqrt{{(9)}^{2} + ` {(12)}^{2}}$ $=sqrt((9)^2 + `(12)^2$

$= \sqrt{(81 + ` 144)}$ $=sqrt((81+ `144)$

$= \sqrt{225}$ $=sqrt(225$

$= 15$ $=15$

What is the distance between (−1,−5)(-1, -5) and (8,7)(8, 7)?