A student says that (0, - 2) is a solution of 9x-6=3y Are they correct or incorrect? Why?

at y-intercept: (0,2) is the correct

Step-by-step explanation:

We have equation 1

9x-6=3y

to find the x-intercept, substitute in 0 for y and solve for x

3 (0) = 9x+6

3 (0) = 9x+6

9x+6=0

Subtract 6 from both sides

9x=-6

So x = - 6/9 = - 2/3

Now to find for y-intercept, substitute in 0 for x and solve for y

3y=9 (0) + 6

3y=0+6

3y=6

These are the x and y intercepts of the equation 3y=9x+6

x-intercept: (-2/3,0)

y-intercept: (0,2)

Correct.

Step-by-step explanation:

Check if x = 0 and y = - 2 fits the equation:

9 (0) - 6 = - 6

3 (-2) = - 6.

They do so the student is correct.