Question

graphs, functions, and sequences
finding distances between points that share a common coordinate given...
find the distance between point g and point h.

Explanation:

Step1: Determine the x - coordinates of points G and H

Since the y - coordinates of G and H are the same (both y = 2), we only need to consider the x - coordinates. Let the x - coordinate of H be \(x_1 = 2\) and the x - coordinate of G be \(x_2=7\).

Step2: Calculate the distance using the formula for horizontal distance

The distance \(d\) between two points \((x_1,y)\) and \((x_2,y)\) (where \(y\) is the same) is \(d=\vert x_2 - x_1\vert\). Substitute \(x_1 = 2\) and \(x_2 = 7\) into the formula: \(d=\vert7 - 2\vert\).

$$d=\vert7 - 2\vert=\vert5\vert = 5$$

Answer:

5