Question

graphs, functions, and sequences
finding distances between points that share a common coordinate given...
find the distance between point ( c ) and point ( d ).
distance:

Explanation:

Step1: Determine the coordinates of points C and D

Point \( C\) has coordinates \((2,4)\) and point \( D\) has coordinates \((2,-2)\)

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

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) with \(x_1 = x_2\) is \(d=\vert y_1 - y_2\vert\). Here \(x_1=x_2 = 2\), \(y_1 = 4\), \(y_2=-2\). Then \(d=\vert4-(-2)\vert=\vert4 + 2\vert\)

Answer:

\(6\)