Question

find the distance between point g and point h.

Explanation:

Step1: Determine the coordinates of points

Point \( H(1,2) \), point \( G(7,2) \).

Step2: Use the distance formula for points with same \( y \)-coordinate

Since \( y_{H}=y_{G} = 2 \), the distance \( d=\vert x_{G}-x_{H}\vert\). Substitute \( x_{G} = 7\) and \( x_{H}=1\), we get \(d=\vert7 - 1\vert\).

Step3: Calculate the absolute value

\(\vert7 - 1\vert=\vert6\vert = 6\).

Answer:

\(6\)