Question

the point l(-2, -4) is reflected over the x-axis. what are the coordinates of the resulting point, l?

Explanation:

Step1: Recall the reflection rule over x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \(L(-2,-4)\), here \(x=-2\) and \(y = - 4\). Using the rule \((x,y)\to(x,-y)\), we substitute \(y=-4\) into \(-y\). So \(-y=-(-4) = 4\). The \(x\) - coordinate remains \(x=-2\).

Answer:

The coordinates of the resulting point \(L'\) are \((-2,4)\)