You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.
2y-3x=10 add 3x to both sides
2y=3x+10 divide both sides by 2
y=1.5x+5, since y=mx+b, m=slope and b=y-intercept
slope=1.5 and the y-intercept is, technically the point, (0, 5)
