what should be the equation of the line in standard form that passes through (4,6) and is parallel to the line where equation is y=2/3x +5?

If lines are parallel gradients are equal hence: m=2/3

y=mx+c,so 6=2/3(4)+c so c=10/3 hence y=2/3 x+10/3 or simplifying; 3y-2x=10