The image of the point (2-9) under a translation is (4,-14). Find the coordinates of the image of the point (5,6) under the same translation.

y=3x+6

2x+y=-9

Substitute first equation into second equation to solve for x first .

2x+3x+6=-9

5x+6=-9

5x=-9-6

5x= -15

X= -15/5

X= -3

Now substitute x answer to solve for y .

y=3x+6

Y= 3(-3)+6

Y= -9+6

Y= -3

Solution is (-3,-3) this is your intersection point.

To check

y=3x+6

-3= 3(-3)+6

-3= -9+6

-3= -3

2x+y=-9

2(-3)+(-3)=-9

-6-3=-9

-9=-9

To graph plug in points for x to find y etc. Need help with it i can go further. This should start you of

Heres first equation

y=3x+6

If x is 2

Y= 3(2)+6

Y= 6+6

Y= 12

So one point (2,12)

Y=3(-2)+6

Y=-6+6

Y= 0

Another point (-2,0)

Continue on and then do same for second equation