Question

how far should point j be from the x-axis? 3 units point j and point j must be the same distance from the x-axis.

Explanation:

Step1: Recall distance from x - axis

The distance of a point \((x,y)\) from the \(x\) - axis is given by the absolute value of its \(y\) - coordinate, i.e., \(|y|\).

Step2: Find y - coordinate of J

Looking at the graph, point \(J\) has a \(y\) - coordinate of \(3\) (since it is 3 units above the \(x\) - axis).

Step3: Apply the given condition

We are told that point \(J\) and point \(J'\) must be the same distance from the \(x\) - axis. So the distance of \(J'\) from the \(x\) - axis is equal to the distance of \(J\) from the \(x\) - axis, which is \(3\) units.

Answer:

3