Question

point p is the image of p(-6,5) under a translation by 7 units down. what are the coordinates of p? ( , ) related content translating points

Explanation:

Step1: Recall translation rule

In a translation 7 units down, the x - coordinate remains the same and the y - coordinate changes.
The original point is $P(-6,5)$. The x - coordinate of $P$ is $x=-6$. Since there is no horizontal translation, the x - coordinate of $P'$ is also $x=-6$.

Step2: Calculate new y - coordinate

The original y - coordinate of $P$ is $y = 5$. A translation 7 units down means subtracting 7 from the y - coordinate. So, $y'=5 - 7=-2$.

Answer:

$(-6,-2)$