Question

1. given point b at (5, -4) reflected over the y - axis, what will be the coordinates of b? (5, 4) (-5, -4) (-5, 4) (5, -4)

Explanation:

Step1: Recall the reflection rule over 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 point \(B(5, - 4)\)

Here \(x = 5\) and \(y=-4\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 5\) into \(-x\). So \(-x=-5\) and \(y\) remains \(-4\).

Answer:

\((-5,-4)\) (the second option)