Question

what are the coordinates of point b after a reflection across the x - axis if it is located at (-2, 7)? click here for help! (2 points) point b is now located at (□, □).

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) across the \(x\) - axis is that the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. Mathematically, if we have a point \((x,y)\), after reflection over the \(x\) - axis, the new point is \((x, - y)\).

Step2: Apply the rule to the given point

We are given the point \(B\) with coordinates \((-2,7)\). Here, \(x=-2\) and \(y = 7\). Applying the reflection rule over the \(x\) - axis, the new \(x\) - coordinate is still \(-2\), and the new \(y\) - coordinate is \(-7\) (since we change the sign of \(y\)).

Answer:

\((-2, - 7)\)