Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:
A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:
Multiply both sides by 2.
So, the equation of the line is .
Now, check each point for this equation.
Putting , we get
Similarly,
For .
For .
For .
For .
For .
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.