Question

Find the distance between the pair of points.. (-6, -5), (7, -8)

Answer 1

Answer:

$\sqrt{178}$ units

Step-by-step explanation:

Use the distance formula $d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$ where $d$ is the positive distance between $(x_1,y_1)$ and $(x_2,y_2)$:

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

$d=\sqrt{(-8-(-5))^2+(7-(-6))^2}$

$d=\sqrt{(-8+5)^2+(7+6)^2}$

$d=\sqrt{(-3)^2+(13)^2}$

$d=\sqrt{9+169}$

$d=\sqrt{178}$

Therefore, the distance between $(-6,-5)$ and $(7,-8)$ is $\sqrt{178}$ units.