You can put this solution on YOUR website! Let us first re-arrange the equation so that it is in Slope-intercept form
4y-5 = 6x
Add 5 to each side
4y = 6x + 5
Divide each side by 4
y = (6/4)x + (5/4)
y = (3/2)x + (5/4)
The slope of the line = (3/2) = 1 & (1/2)