Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 6y = 18.
+128408 3x - 6y = 18
y intercept....let x = 0 x intercept.....let y = 0
-6y = 18 3x = 18
y = -3 x = 6
So....we want to find the distance from (0. -3) to ( 6, 0)
Using the distance formula
D = sqrt [ ( 6 - 0 )^2 + (- 3 - 0)^2 ] = sqrt [ 6^2 + 9^2 ] = sqrt [ 36 + 9 ] = sqrt 45 =
sqrt [ 9 * 5 ] =
3sqrt (5)
