Question

find the distance between the two points rounding to the nearest tenth (if necessary). (6, -5) and (9, -1)

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(6, - 5)\) and \((x_2,y_2)=(9,-1)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(9 - 6)^2+(-1+5)^2}\)

Step3: Simplify the expression inside the square root

\((9 - 6)^2=3^2 = 9\) and \((-1 + 5)^2=4^2=16\)
So \(d=\sqrt{9 + 16}=\sqrt{25}\)

Step4: Calculate the square root

\(\sqrt{25}=5\)

Answer:

\(5\)