Question

Show graphically that each one of the following systems of equations has infinitely many solutions:
$x-2y+11=0$
$3x-6y+33=0$

Answer 1

Both lines have same x-intercept and same y-intercept

x-intercept =-11

y-intercept =$\frac{11}{2}$

And both lines have same Slope

Slope =$\frac{-1}{-2}=\frac{1}{2}$

$\Rightarrow$both lines coincide and have infinite solutions