So here we have this equation:
[tex]4x-6y=12[/tex]We want to find its slope-intercept form. (y=mx+b)
For this, we just solve the previous equation for y.
[tex]\begin{gathered} 4x-6y=12 \\ 4x-12=6y \\ y=\frac{2}{3}x-2 \end{gathered}[/tex]Notice that the slope is positive, so the line is going to grow. For this reason, option C is not correct.
If we look at the y-intercept form, we notice that the y-intercept of our line is located at y=-2. So, option D is also incorrect.
And, the point-slope equation of the option A is not correct.
Therefore, the correct option is B.
