Question

if ( p = (-1,6) ), find: ( r_{x - axis}(p) )

Explanation:

Step1: Recall the reflection rule over x - axis

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

Step2: Apply the rule to the given point

Given the point \(P=(-1,6)\), here \(x=-1\) and \(y = 6\).
Using the rule \((x,y)\to(x,-y)\), we substitute \(x=-1\) and \(y = 6\) into the formula.
We get \((-1,6)\to(-1,-6)\).

Answer:

\((-1,-6)\)