Question

reflect (7, 9) across the x-axis. then reflect the result across the y-axis. what are the coordinates of the final point?

Explanation:

Step1: Reflect across the x - axis

When reflecting a point \((x,y)\) across the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).
For the point \((7,9)\), after reflection across the \(x\) - axis, we get \((7,-9)\).

Step2: Reflect the new point across the y - axis

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For the point \((7,-9)\), after reflection across the \(y\) - axis, we get \((-7,-9)\).

Answer:

\((-7,-9)\)