Question

the point j is plotted on the coordinate grid below. plot the point j, the reflection of j over the x-axis. click on the graph to plot a point. click a point to delete it. answer attempt 2 out of 2 coordinates of j: (1, -5) coordinates of j: (5, -1) when a point is reflected over the x-axis, the y-coordinate changes sign.

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. The formula for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,-y)\).

Step2: Identify coordinates of \(J\)

From the given information, the coordinates of point \(J\) are \((1, - 5)\).

Step3: Apply the reflection rule

Using the rule for reflection over the \(x\) - axis, for the point \(J(1,-5)\), the \(x\) - coordinate \(x = 1\) remains the same, and the \(y\) - coordinate \(y=-5\) changes its sign. So the \(y\) - coordinate of \(J'\) will be \(-(-5)=5\). Thus, the coordinates of \(J'\) should be \((1,5)\).

Answer:

The coordinates of \(J'\) are \((1,5)\)