Which is a rule that describes the translation of a point from (–5, 4) to (–1, 2)?
A. (x, y) arrow(x – 4, y – 2)
B. (x, y) arrow(x + 4, y – 2)
C. (x, y) arrow(x + 4, y + 2)
D. (x, y) arrow(x – 4, y + 2)

B

Step-by-step explanation:

Given the translation (- 5, 4 ) → (- 1, 2 )

Note the x- coordinate of the translation is 4 more than the x- coordinate of the original x- coordinate, that is - 5 → - 1 is + 4

The y- coordinate of the translation is 2 less than the y- coordinate of the original y- coordinate, that is 4 → 2 is - 2

Thus the translation rule is

(x, y ) → (x + 4, y - 2 ) → B

d is correct

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get