Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?

Given:

The table for a linear function.

To find:

The equation of the linear function.

Solution:

If a linear function passes through two points, then the equation of linear function is:

Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is

Subtracting 2 from both sides.

So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.

Therefore, the required linear equation is .

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option