Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
$(-7,-3)$ and $(-1,-5)$

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-7,-3)\) and \((x_2,y_2)=(-1,-5)\)

Step2: Apply the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=-1-(-7)=6\), \(y_2 - y_1=-5-(-3)=-2\)
So \(d=\sqrt{6^2+(-2)^2}=\sqrt{36 + 4}=\sqrt{40}\)

Step3: Simplify and round

\(\sqrt{40}\approx6.3\) (rounded to the nearest tenth)

Answer:

\(6.3\)