Answer:see explanationStep-by-step explanation:The equation of a line in slope intercept- form isy = mx + c ( m is the slope and c the y- intercept )Rearrange 3y - x = 10 into this formAdd x to both sides3y = x + 10 ( divide all terms by 3 )y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← in slope- intercept form