Question

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you can reflect a point across an axis in the coordinate plane.
reflect point a across the y - axis.
what is the distance from each point
to the y - axis?

Explanation:

Step1: Determine the x - coordinate of point A

Point A is at \(x = 4\). The distance of a point \((x,y)\) from the \(y\) - axis is given by \(|x|\). So for point \(A\) with \(x = 4\), the distance from the \(y\) - axis is \(|4|=4\).

Step2: Determine the x - coordinate of point \(A'\)

Since \(A'\) is the reflection of \(A\) across the \(y\) - axis. If \(A=(4,y)\), then \(A'=(- 4,y)\). The distance of a point \((x,y)\) from the \(y\) - axis is given by \(|x|\). So for point \(A'\) with \(x=-4\), the distance from the \(y\) - axis is \(|-4| = 4\).

Answer:

Point	Distance
\(A'\)	\(4\)