What is an equation of the image of the line $y=\frac{3}{2} x-4$ after a dilation of a scale factor of $\frac{3}{4}$ centered at the origin?
(1) $y=\frac{9}{8} x-4$
(2) $y=\frac{9}{8} x-3$
(3) $y=\frac{3}{2} x-4$
(4) $y=\frac{3}{2} x-3$
(1) $y=\frac{9}{8} x-4$
(2) $y=\frac{9}{8} x-3$
(3) $y=\frac{3}{2} x-4$
(4) $y=\frac{3}{2} x-3$