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Question
the point q(-2, 10) is reflected over the y-axis. what are the coordinates of the resulting point, q?
q(box, box)
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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 the given point
For the point \(Q(-2,10)\), here \(x = - 2\) and \(y=10\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-2\) into \(-x\). So \(-x=-(-2) = 2\) and \(y\) remains \(10\).
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\(Q'(2,10)\)