Question

question: the image of the point (2, - 9) under a translation is (4, - 14). find the coordinates of the image of the point (5, 6) under the same translation. answer attempt 1 out of 2

Explanation:

Step1: Find the translation rule

The change in the x - coordinate from the original point $(2,-9)$ to its image $(4,-14)$ is $\Delta x=4 - 2=2$. The change in the y - coordinate is $\Delta y=-14-(-9)=-14 + 9=-5$.

Step2: Apply the translation rule to the new point

For the point $(5,6)$, the new x - coordinate is $x = 5+\Delta x=5 + 2=7$. The new y - coordinate is $y=6+\Delta y=6+( - 5)=1$.

Answer:

$(7,1)$