Question

Find the slope and the equation of the line passing through the points (1, 2) and (3, 8).

Solution

1. Slope m = (8 - 2) / (3 - 1) = 6 / 2 = 3.
2. Use the point (1, 2): y - 2 = 3(x - 1).
3. Simplify: y - 2 = 3x - 3, so y = 3x - 1.
4. Check with (3, 8): 3(3) - 1 = 8, which is correct.