You can easily get the slope on a linear equation by transforming it into the slope-intercept form, y = mx + b. So in that question, 3x - 4y = 8 would become
-4y = 8 - 3x
y = (8-3x)/(-4)
y = [8/(-4)] - [(3x)/(-4)]
y = -2 + 3/4 x
y = 3/4 x - 2
Therefore, the slope is 3/4.
- D.E.
