Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 7y = 21 + 2x - 5y.
3x - 7y = 21 + 2x - 5y rearrange as
x - 2y = 21
x intercept.... let y = 0
x =21 = x intercept
y intercept......let x = 0
0 - 2y = 21
-2y = 21
y = -21/2 = -10.5
Distance between intercepts = sqrt [ (21)^2 + (-10.5)^2 ] ≈ 23.48 units
