Question

take the coordinate point (-5, 4) and reflect it over the y axis (horizontally). what is the new coordinate? your answer this is a required question

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(y\) - coordinate remains the same, and the \(x\) - coordinate changes its sign. Mathematically, if we have a point \((x,y)\), after reflecting over the \(y\) - axis, the new point is \((-x,y)\).

Step2: Apply the rule to the given point

We are given the point \((-5,4)\). Here, \(x=-5\) and \(y = 4\). Using the reflection rule over the \(y\) - axis, we change the sign of \(x\). So, the new \(x\) - coordinate is \(-(-5)=5\), and the \(y\) - coordinate remains \(4\).

Answer:

\((5,4)\)