Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 2x - 4y$.
y-axis intercept occurs when x = 0
3(0) -6y = 12 + 2(0) - 4y
-2y = 12
y = -6 y intercept = (0,-6)
x axis intercept occurs when y = 0
3x - 6(0) = 12 + 2x - 4(0)
x = 12 x intercept = (12, 0 )
Using Pythagorean theorem d^2 = (-6)^2 + 12^2
d = sqrt (180) = 6 sqrt (5)