[tex]\text{Slope intercept form: y = mx + b}\\\text{We're going to need to get y by itself, and solve from there}\\\\\text{Solve:}\\\\3x-4y=10\\\\\text{Subtract 3x from both sides}\\\\-4y=-3x+10\\\\\text{Divide both sides by -4}\\\\y=\frac{3}{4}x-\frac{5}{2}\\\\\boxed{\text{Answer:}\,\, y=\frac{3}{4}x-\frac{5}{2}}}[/tex]
