If the three points and are collinear, then which one is correct?
Explanation for the correct option:
Step 1. Understanding the problem:
It is given that three points and are collinear.
Now as the three points are collinear so the slope of any two points must be the same. So, .
Step 2. Find the slope and .
The slope of the line passing through and is given as:
The slope of the line passing through and is given as:
Step 3. Form and simplify the equation.
The two slopes must be the same, so:
Take common from both sides and cancel the terms.
Now add both sides.
Hence, the correct option is C.