What is the equation of the line through the origin and (3,4

Answer 1

The general equation for such a line is y=Ax+B where A, B are constants to be found. Since we want the line to pass through the origin we must have that 0=A0+B which implies that B=0. Hence, our line is given by the equation y=Ax. Finally, since the line passes through the point (3,4) we must have that 4=3A or in other words A=4/3. Therefore, the equation of the line is y=(4/3)x.