Question

point p is located at (-4, -7). p is reflected across the x-axis to create p. in which quadrant is p located? quadrant iii quadrant ii quadrant iv quadrant i

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected across the \(x\) - axis, the new point \(P'\) has coordinates \((x,-y)\).

Step2: Apply the rule to point \(P(-4,-7)\)

For point \(P(-4,-7)\), using the reflection rule across the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So, the coordinates of \(P'\) are \((-4,7)\).

Step3: Determine the quadrant of \(P'(-4,7)\)

In the coordinate plane, Quadrant II has points with \(x\lt0\) and \(y\gt0\). Since for \(P'(-4,7)\), \(x = - 4\lt0\) and \(y=7\gt0\), \(P'\) is in Quadrant II.

Answer:

Quadrant II