Question

what is the result of translating the point $(-5,6)$ by vector $\langle0,-7\
angle$?
$\bigcirc$ $(5,-1)$
$\bigcirc$ $(0,-1)$
$\bigcirc$ $(-5,13)$
$\bigcirc$ $(-5,-1)$

Explanation:

Step1: Add vector to x-coordinate

$x_{\text{new}} = -5 + 0 = -5$

Step2: Add vector to y-coordinate

$y_{\text{new}} = 6 + (-7) = -1$

Answer:

(-5,-1)