Question

after the point y (-4, -9) is translated along the vector <-3, 7>, the image will be located at ( )

Explanation:

Step1: Add x - coordinates

Add the x - coordinate of the point and the x - component of the vector. The x - coordinate of the point is - 4 and the x - component of the vector is - 3. So, $-4+( - 3)=-4 - 3=-7$.

Step2: Add y - coordinates

Add the y - coordinate of the point and the y - component of the vector. The y - coordinate of the point is - 9 and the y - component of the vector is 7. So, $-9 + 7=-2$.

Answer:

$(-7,-2)$