2x+3y=4

This is not slope btw

When x=-4:

2 (-4) + 3y=4

3y=4+8

3y=12

y=4

So the ordered pair is (-4,4), I think

Okay, so we have 2x+3y=4. let's put this in slope intercept form.

We do that by subtracting 2x over and we now have 3y=-2x+4

Now we divide both sides by 3 and end up with y = (-2/3) x+4/3

Now let's plug in - 4 for x.

y = (-2/3) (-4) + 4/3 is y=8/3+4/3

8/3+4/3 = 4

so y=4

Therefore, you coordinate pair is (-4,4) because when x is - 4, y is 4. : D