SOLUTION: Find the real number n so that the given three points are collinear: (6,3), (n,-1), and (-3,-3)

Question 29033: Find the real number n so that the given three points are collinear: (6,3), (n,-1), and (-3,-3)
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Here's one approach:
First, find the slope of the line using two of the known points.
Then you can use the slope formula to find the value of n.
Use the points (6, 3) and (-3, -3) as (x1, y1) and (x2, y2)

Now use the slope formula again, only this time, use the point (n, -1) as one of the two points. The other point can be either one of the other two. Use (6, 3). Using (n, -1) and (6, 3)

But , so
Multiply both sides by (6-n)
Multiply both sides by 3.
Divide both sides by 2.
Subtract 6 from both sides.
or

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