+1234 Find the distance between the $x$-intercept and the $y$-intercept of the line below.
+129771 Slope of line = -2/3
Equation of line y = (-2/3)(x - 3) - 1 ⇒ y = (-2/3)x + 2 - 1 ⇒ y = (-2/3)x + 1
y intercept = (0,1)
x intercept = -1 = -(2/3)x ⇒ x = 3/2
Distance between (0, 1) and (3/2, 0) = sqrt [ (3/2)^2 + 1^2 ] = sqrt [ 9/4 + 4/4 ] = sqrt [ 13 / 4 ] =
sqrt [13 ] / 2 ≈ 1.8
