Question

the point m(7, 9) is reflected over the x - axis. what are the coordinates of the resulting point, m?

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 \(M(7,9)\)

For the point \(M(7,9)\), the \(x\) - coordinate \(x = 7\) remains unchanged. The \(y\) - coordinate \(y = 9\), so after reflection, the \(y\) - coordinate becomes \(-y=-9\).

Answer:

\((7, - 9)\)