What is the distance between $(2, 8)$ and $(-6, -7)$ ?

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Answer 1 · 2016-05-01T17:16:39

The distance $= 17$

$(2, 8) = color(blue)(x_1 , y_1)$

$( -6 , - 7) = color(blue)(x_2 , y_2)$

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

$= sqrt ((-6 - 2)^2 + ( -7 - 8 )^2$

$= sqrt ((-8)^2 + ( -15 )^2$

$= sqrt (64 + 225)$

$= sqrt (289)$

$=17$

What is the distance between (2, 8)(2, 8) and (-6, -7)(-6, -7)?