Question

what are the coordinates of the point $(-1,0)$ after a translation 5 units to the right? $(-6,0)$ $(-1,-5)$ $(-1,5)$ $(4,0)$

Explanation:

Step1: Understand the translation rule

When a point \((x,y)\) is translated \(a\) units to the right, the new \(x\) - coordinate is \(x + a\) and the \(y\) - coordinate remains the same. Here \(a = 5\), \(x=-1\), \(y = 0\).

Step2: Calculate the new \(x\) - coordinate

The new \(x\) - coordinate is \(x+a=-1 + 5\).

$$ -1+5=4 $$

The \(y\) - coordinate remains \(y = 0\).

Answer:

\((4,0)\)