Geometry enter the numbers that belong in the green and grey box. include explanation , struggling a bit

Hey There!

Let's look at the difference between P and P'

7 -2 = 5

-2 - 4= -6

The rule of this translation is down 2 and down 4.

Let's apply this to T

-7 -2= -9

3 - 4 = -1

The number that would be entered into the green box would be -9.

The number that would be entered into the grey box would be -1.

Since the question wants you to enter the number that belongs in the green box which is the x value.

The answer would be -9.

Thank you for posting your question with

P: (7,-2); P': (5,-6)

Difference between x values: 7-5=2. Since it went down two, the translation would be "x-2".

Difference between y values: -2-(-6)=4 Since it went down four, the translation would be "y-4".

Complete translation: x-2,y-4.

Now, you must apply this translation to the coordinates (-7,3).

-7-2=-9

3-4=-1

The image of the point would be (-9,-1).

The number that belongs in the green box is -9.

I hope this helps :)

9 beads on each string

Step-by-step explanation: