Question

write an algebraic rule to describe the translation P(-8,6) ➡P'(-10,2)

Answer 1

Now that's a complete question!  lol

P(-8,6) -> P'(-10,2)

means we add -2 to x, and -4 to y, the rule is
(x,y) -> (x-2, y-4)

Check: P'(-8-2,6-4)=P'(-10,2)..... ok.

Answer 2

Answer with explanation:

The coordinate of point P in x-y Plane= (-8,6)

Coordinate of point in the same plane after translation = P'(-10,2)

→Abscissa in Pre image + (-2)=  Abscissa in Image

-8 +(-2)= -10

Abscissa is shifted Horizontally  left Direction by 2 units.

→Ordinate in Pre image + (-4)= Ordinate in Image

6 +(-4)= 2

Ordinate is shifted Vertically down by 4 units.