Question

the point p(-3, 4) is reflected over the x - axis. what are the coordinates of the resulting point, p?

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 \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(P(-3,4)\)

For the point \(P(-3,4)\), where \(x=-3\) and \(y = 4\). After reflection over the \(x\) - axis, the \(x\) - coordinate is still \(-3\) and the \(y\) - coordinate becomes \(-4\). So the coordinates of \(P'\) are \((-3,-4)\).

Answer:

\((-3,-4)\)