Find an equation in slope intercept for the line 3x-4y=7

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).