Question

find the distance between point i and point j.

Explanation:

Step1: Determine the coordinates of points

Point \(I\) has coordinates \((-4,2)\), point \(J\) has coordinates \((-4,-3)\).

Step2: Use the distance formula for vertical points

Since the \(x -\)coordinates are the same (\(x_1=x_2 = - 4\)), the distance \(d=\vert y_1 - y_2\vert\). Here \(y_1 = 2\), \(y_2=-3\). Then \(d=\vert2-(-3)\vert=\vert2 + 3\vert\).

Step3: Calculate the absolute value

\(\vert2 + 3\vert=\vert5\vert = 5\).

Answer:

\(5\)