Question

find the distance between (-8, 6) and (7, -2).
√5
√23
√15
17

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-8,y_1 = 6,x_2=7,y_2=-2$.

Step2: Calculate differences

$x_2 - x_1=7-(-8)=7 + 8=15$ and $y_2 - y_1=-2 - 6=-8$.

Step3: Square differences and sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=15^2+(-8)^2=225 + 64=289$.

Step4: Calculate distance

$d=\sqrt{289}=17$.

Answer:

$17$