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: Identify the coordinates

Let \((x_1,y_1)=(-6,8)\) and \((x_2,y_2)=(-3,9)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=-3-(-6)=3\), \(y_2 - y_1=9 - 8 = 1\)
Then \(d=\sqrt{(3)^2+(1)^2}=\sqrt{9 + 1}=\sqrt{10}\)

Answer:

C. \(\sqrt{10}\)