Question

question: the image of the point (-1, -8) under a translation is (-3, -12). find the coordinates of the image of the point (5, -7) under the same translation. answer: attempt 1 out of 2

Explanation:

Step1: Find translation rule

A translation from $(-1,-8)$ to $(-3,-12)$ means subtracting 2 from the x - coordinate ($-1-(-3)=2$) and subtracting 4 from the y - coordinate ($-8 - (-12)=4$). The translation rule is $(x,y)\to(x - 2,y - 4)$.

Step2: Apply rule to new point

For the point $(5,-7)$, applying the rule: $x=5,y = - 7$. New x - coordinate is $5-2 = 3$, new y - coordinate is $-7-4=-11$.

Answer:

$(3,-11)$