Does the line 3x – 5y = 6 bisect the join of (5, -2) and (-1, 2)?

By mid-point formula, Mid-point of (5, -2) and (-1, 2) = = = (2, 0). Substituting x = 2 and y = 0 in L.H.S. of the equation 3x - 5y = 6. L.H.S. = 3 × 2 - 5 × 0 = 6. Since, L.H.S. = R.H.S., ∴ (2, 0) lies on the line 3x - 5y = 6. Hence, the line 3x – 5y = 6 bisects the join of (5, -2) and (-1, 2).