What is the distance between $(4, 5)$ and $(-6, -7)$ ?

Question

4211 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-28T22:03:48

See a solution process below:

The formula for calculating the distance between two points is:

$d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)$

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(-6) - color(blue)(4))^2 + (color(red)(-7) - color(blue)(5))^2)$

$d = sqrt((-10)^2 + (-12)^2)$

$d = sqrt(100 + 144)$

$d = sqrt(244)$

$d = sqrt(4 * 61)$

$d = sqrt(4)sqrt(61)$

$d = 2sqrt(61)$

Or

$d ~= 15.62$

What is the distance between (4, 5)(4, 5) and (-6, -7)(-6, -7)?