5x - y = 7 → - y = -5x + 7 → y = 5x - 7
8 = 5(3) - 7
8 = 15 - 7
8 = 8
This equation has the slope of m = 5, containing the point (3, 8).
x + 8y = 5 → 8y = -x + 5 → y = (-1/8)x - (5/8)
8 = (-1/8)(3) - (5/8)
8 = (-3/8) - (5/8)
8 ≠ -1
This equation has the slope of m = -1/8, doesn't contain the point (3, 8).
10x - 2y = 14 → -2y = -10x + 14 → y = 5x - 7
8 = 5(3) - 7
8 = 15 - 7
8 = 8
This equation has the slope of m = 5, containing the point (3, 8).