Question

1. if a point has coordinates (-5,3) and is reflected in the y - axis, what are the new coordinates? (-3,5) (3,5) (-5,-3) (5,3)

Explanation:

Step1: Recall the reflection rule over the y - axis

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

Step2: Apply the rule to the given point

Given the point \((- 5,3)\), here \(x=-5\) and \(y = 3\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-5\) into \(-x\). So \(-x=-(-5) = 5\) and \(y\) remains \(3\).

Answer:

\((5,3)\)