Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x - 12y = 30 .
y intercept.....let x = 0 x intercept.......let y = 0
5(0) - 12y = 30 5x - 12(0) = 30
-12y = 30 5x = 30
y = -30/12 = -5/2 x = 30 / 5 = 6
Distance = sqrt ( (-5/2)^2 + 6^2 ) = sqrt ( 25/4 + 36) = sqrt ( 6.25 + 36) = sqrt (42.25) =
6.5 units
