Slope-intercept form is represented with "y = mx+b". In this equation, 3x can be subtracted from both sides to isolate the y-term. This leaves -4y = -3x+7. Next, the signs can be flipped by multiplying by -1. This gives 4y = 3x-7. Finally, both sides can be divided by 4 to leave a final form of y = (3/4)x - (7/4).