Question

What is the distance between the points (4,6) (7,-3)

Answer 1

Answer:

The distance between (4,6) is 2, and the distance between (7, -3) is 10

Explanation:

Answer 2

By the distance formula,

$d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }$

Here,

$x_1 = 4$

$y_1 = 6$

$x_2 = 7$

$y_2 = - 3$

Hence,

$d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} }$

$d = \sqrt{ {3}^{2} + ( - {9)}^{2} }$

$d = \sqrt{9 + 81}$

$d = \sqrt{90}$