The equation reduces to x = 2/3, which is a line parallel to the y-axis and passing though the x-axis at (2/3, 0). Slope is undefined for a line parallel to the y-axis.
If it doesn't have two variables, like an x and a y, then I don't think it can truly be put into slope intercept form.
However, you could do something superficially similar by putting the equation into the form 0 = mx+b, where b is a constant, and m is a coefficient on the variable x.
If you want to do that for this problem, combine like terms.
3x+4-6=0 becomes 3x-2 = 0
And that's your answer. Explain this difficulty to your teacher next time you see them.
Comments
The answer would be "none of the above."
The equation reduces to x = 2/3, which is a line parallel to the y-axis and passing though the x-axis at (2/3, 0). Slope is undefined for a line parallel to the y-axis.
If it doesn't have two variables, like an x and a y, then I don't think it can truly be put into slope intercept form.
However, you could do something superficially similar by putting the equation into the form 0 = mx+b, where b is a constant, and m is a coefficient on the variable x.
If you want to do that for this problem, combine like terms.
3x+4-6=0 becomes 3x-2 = 0
And that's your answer. Explain this difficulty to your teacher next time you see them.