Question

point ( x(1,5) ) is translated 10 units down. which are the coordinates of point ( x )? ( (1,-5) ) ( (1,15) ) ( (11,5) ) ( (-9,5) )

Explanation:

Step1: Recall the rule for vertical translation

When a point \((x,y)\) is translated \(k\) units down, the new \(y -\)coordinate is \(y - k\) and the \(x -\)coordinate remains the same.

Step2: Apply the translation rule

Given the point \(X(1,5)\) and \(k = 10\). The \(x -\)coordinate of \(X'\) is \(x=1\) (since there is no horizontal translation). The \(y -\)coordinate of \(X'\) is \(y=5 - 10=-5\).

Answer:

\((1,-5)\)