Question

find the distance between point c and point d.

Explanation:

Step1: Determine the coordinates of points

From the graph, point \(C\) has coordinates \((2,4)\) and point \(D\) has coordinates \((2,-3)\).

Step2: Use the distance formula for vertical points

Since the \(x\) - coordinates are the same (\(x_1 = x_2=2\)), the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d=\vert y_1 - y_2\vert\).
Substitute \(y_1 = 4\) and \(y_2=-3\) into the formula: \(d=\vert4-(-3)\vert=\vert4 + 3\vert\).

Step3: Calculate the absolute value

\(\vert4 + 3\vert=\vert7\vert = 7\).

Answer:

\(7\)