Question

question: the image point of a after a translation right 2 units and down 1 unit is the point b(10, - 1). determine the coordinates of the pre - image point a.

Explanation:

Step1: Recall translation rule

Let the pre - image point $A$ have coordinates $(x,y)$. The translation right 2 units and down 1 unit has the rule $(x,y)\to(x + 2,y-1)$. We want to find $(x,y)$ given the image point $B(10,-1)$.

Step2: Set up equations

We have the equations $x + 2=10$ and $y-1=-1$.

Step3: Solve for $x$

For $x + 2=10$, subtract 2 from both sides: $x=10 - 2=8$.

Step4: Solve for $y$

For $y-1=-1$, add 1 to both sides: $y=-1 + 1=0$.
So the coordinates of the pre - image point $A$ are $(8,0)$.

Answer:

$(8,0)$