Question

find the distance between the points (4, -6) and (7, -6).

Explanation:

Step1: Identify the formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Substitute the values

Here \(x_1 = 4,y_1=-6,x_2 = 7,y_2=-6\). Substitute into the formula: \(d=\sqrt{(7 - 4)^2+(-6+6)^2}\).

Step3: Simplify the expression

First calculate \((7 - 4)^2=3^2 = 9\) and \((-6 + 6)^2=0^2=0\). Then \(d=\sqrt{9+0}=\sqrt{9}\).

Step4: Calculate the square - root

Since \(\sqrt{9}=3\).

Answer:

\(3\)