Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (b) y-axis (5, -3)

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Identify the given point as \((5, -3)\), where \(5\) is the \(x\)-coordinate and \(-3\) is the \(y\)-coordinate.

Recall that symmetry with respect to the \(y\)-axis means reflecting the point across the \(y\)-axis. This changes the sign of the \(x\)-coordinate but keeps the \(y\)-coordinate the same.

Apply the reflection rule: For a point \((x, y)\), its symmetric point with respect to the \(y\)-axis is \((-x, y)\).

Using this rule, find the symmetric point of \((5, -3)\) by changing the \(x\)-coordinate from \(5\) to \(-5\), while keeping the \(y\)-coordinate \(-3\) unchanged. So, the symmetric point is \((-5, -3)\).

Plot both points on the coordinate plane: the original point \((5, -3)\) on the right side of the \(y\)-axis, and the symmetric point \((-5, -3)\) on the left side, at the same vertical level.

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