Proof: Slope 1
Let's prove the following theorem:
if the following are true:
- f = (a - b) / (c - d)
- a = w
- b = x
- c = y
- d = z
then f = (w - x) / (y - z)
Proof:
Given
| 1 | f = (a - b) / (c - d) |
|---|---|
| 2 | a = w |
| 3 | b = x |
| 4 | c = y |
| 5 | d = z |
| # | Claim | Reason |
|---|---|---|
| 1 | (a - b) / (c - d) = (w - x) / (y - z) | if a = w and b = x and c = y and d = z, then (a - b) / (c - d) = (w - x) / (y - z) |
| 2 | f = (w - x) / (y - z) | if f = (a - b) / (c - d) and (a - b) / (c - d) = (w - x) / (y - z), then f = (w - x) / (y - z) |
Comments
Please log in to add comments