Question

Find the distance from (-3,-1) to (2, 11).

Answer 1

Answer:

13

Step-by-step explanation:

Use the distance formula to find the distance between points

$(x_1, y_1)$  and  $(x_2, y_2)$.

Distance formula:

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

We have $x_1 = -3, y_1 = -1, x_2 = 2, y_2 = 11$.

$distance = \sqrt{(2 - (-3))^2 + (11 - (-1))^2}$

$distance = \sqrt{(2 + 3)^2 + (11 + 1)^2}$

$distance = \sqrt{5^2 + 12^2}$

$distance = \sqrt{25 + 144}$

$distance = \sqrt{169}$

$distance = 13$