Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 2x - 4y$.
3x - 6y = 12 + 2x - 4y rearrange as
x - 2y = 12
y intercept, let x = 0, so y = -6
x intercept, let y =0 , so x =12
Distance between intercepts = sqrt [ (-6)^2 + 12^2 ] = sqrt (180) = sqrt (16 *10) = 4sqrt (10)