Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.
3x - 6y = 12 + 8x -3y simplify
-3y = 5x + 12 divide through by -3
y = (-5/3)x - 4
y intercercept = (0, -4)
x intercept
0 = (-5/3)x -4
4 = (-5/3)x
x = -12/5 = -2.4
Distance between intercepts = sqrt [ (-2.4)^2 + (-4)^2 ] = sqrt [ 544/25 ] = (4 sqrt 34 ) / 5
+1678 
