Question

after the point y(-4, -9) is translated along the vector < -6, 2 >, the image will be located at ( )

Explanation:

Step1: Add x - coordinates

To find the x - coordinate of the new point, add the x - coordinate of the vector to the x - coordinate of the original point. The x - coordinate of the original point $Y$ is $-4$ and the x - coordinate of the vector is $-6$. So, $-4+( - 6)=-4 - 6=-10$.

Step2: Add y - coordinates

To find the y - coordinate of the new point, add the y - coordinate of the vector to the y - coordinate of the original point. The y - coordinate of the original point $Y$ is $-9$ and the y - coordinate of the vector is $2$. So, $-9 + 2=-7$.

Answer:

$(-10,-7)$