Question

What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)? (5 points)

Answer 1

y - 3 = -3(x - 1)

Explanation:

The point-slope form is y - k = m(x - h), where (h,k) is a point on the line. Using the given info, replace x with 0, y with 6, h with 1 and k with 3. Then:

6 - 3 = m (0 - 1), or 3 = -m, or m = -3. The slope is 3. Then we have the equation

y - 3 = -3(x - 1).

Check: Does this pass thru (1,3)? Is 3 - 3 = -3(1 - 1) true? Yes, it is.