Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.
Simplify
-3y = 5x + 12
x intercept y intercept
0 = 5x + 12 -3y = 12
-12 = 5x y = -4
x = -5/12
Distance between x int and y int =
sqrt [ (-5/12)^2 + (-4)^2 ] =
sqrt [ 25/144 + 16 ] =
sqrt [ 2329 / 144 ] =
sqrt [ 2329 ] / 12 ≈ 4.02
+1234 
