Question

find the distance between the points (-9, 4) and (-1, 4). units

Explanation:

Step1: Identify the formula

Use the distance formula for two points \((x_1,y_1)\) and \((x_2,y_2)\): \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1=-9,y_1 = 4,x_2=-1,y_2 = 4\).

Step2: Substitute the values

Substitute into the formula: \(d=\sqrt{(-1-(-9))^2+(4 - 4)^2}\).
Simplify inside the square - root:
First, \(-1-(-9)=-1 + 9=8\), and \(4 - 4 = 0\). So \(d=\sqrt{8^2+0^2}\).

Step3: Calculate the distance

Since \(8^2=64\) and \(0^2 = 0\), then \(d=\sqrt{64+0}=\sqrt{64}\). And \(\sqrt{64}=8\).

Answer:

\(8\)