Question

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? point distance a? a?

Explanation:

Step1: Determine the coordinate of point A

From the graph, point A is at \((4,1)\). The distance of a point \((x,y)\) from the \(y\) - axis is given by \(|x|\). For point \(A(4,1)\), the distance from the \(y\) - axis is \(|4| = 4\).

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

When a point \((x,y)\) is reflected across the \(y\) - axis, the new point is \((-x,y)\). So if \(A=(4,1)\), then \(A'=(-4,1)\). The distance of point \(A'(-4,1)\) from the \(y\) - axis is \(|-4|=4\).

Answer:

For point \(A\), the distance is \(4\). For point \(A'\), the distance is \(4\).