Question

#5. find the distance between the pair of points shown below. *
g(2,9) and h(-5,9)
__________ units

Explanation:

Step1: Identify the coordinates

Given points \(G(2,9)\) and \(H(-5,9)\). Here \(x_1 = 2,y_1=9,x_2=-5,y_2 = 9\).

Step2: Use the distance formula

Since \(y_1=y_2\), the distance \(d=\vert x_2 - x_1\vert\). Substitute \(x_1 = 2\) and \(x_2=-5\) into the formula: \(d=\vert-5 - 2\vert=\vert-7\vert\).

Step3: Simplify the absolute - value

\(\vert-7\vert=7\).

Answer:

\(7\)