Question

find the distance between point i and point j.

Explanation:

Step1: Determine coordinates

Assume \(I(-4,2)\) and \(J(-4,-3)\) (from the graph's x - coordinate alignment).

Step2: Use distance formula for same x - coordinate

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

Step3: Calculate absolute value

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

Answer:

\(5\)