Question

find the distance between the points (-1,4) and (6,4). \\(\square + \square\\) \\(= \square + \square\\) \\(= \square\\) units

Explanation:

Step1: Apply the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-1,y_1 = 4,x_2=6,y_2 = 4\).

Step2: Substitute the values

Substitute the values into the formula: \(d=\sqrt{(6-(-1))^2+(4 - 4)^2}=\sqrt{(6 + 1)^2+0^2}\).

Step3: Simplify the expression

\(d=\sqrt{7^2+0}=\sqrt{49}=7\).

Answer:

\(7\)