Question

what is the distance between (-6, 8) and (-3, 9)?
choose 1 answer:
a 4
b 6
c $sqrt{10}$
d $sqrt{15}$

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, $x_1=-6,y_1 = 8,x_2=-3,y_2 = 9$.

Step2: Substitute values

$d=\sqrt{(-3-(-6))^2+(9 - 8)^2}=\sqrt{( - 3 + 6)^2+(1)^2}=\sqrt{(3)^2+1^2}$.

Step3: Calculate

$d=\sqrt{9 + 1}=\sqrt{10}$.

Answer:

C. $\sqrt{10}$