The line AB has equation 5x+3y+3=0. It is parallel to a line with equation y=mx+7. What is m?

If the lines are parallel then when the line AB is given in the form y=mx+c then the gradient m of AB is equal to that of the other line. Rearranging the equation for line AB gives y=-(5/3)x-1 so m=-(5/3)