Question

line - segment pm with end - points p( - 4,2) and m(8,3) is reflected about the x - axis to give line segment pm. what are the coordinates of point p?

Explanation:

Step1: Recall 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: Identify the original point

The original point $P$ has coordinates $(-4,2)$.

Step3: Apply the reflection rule

For point $P(-4,2)$, after reflection over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign. So, $(-4,2)\to(-4,-2)$.

Answer:

$(-4,-2)$