SOLUTION: Points (1,3) (-4,7) and (-29, k) are collinear. Find k. So, I found the slope of the first two points they gave me, I just don't understand what to do with it from there.

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Question 997632: Points (1,3) (-4,7) and (-29, k) are collinear. Find k. So, I found the slope of the first two points they gave me, I just don't understand what to do with it from there.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Study this, and analyze what the outline of the method is:



The point-slope form equation of a line, ,




Point (-29,k) is supposed to be on this line but k currently unknown, but can be found.
---redoing this part---

The point (-29,k) must satisfy the equation for the line.




Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Points (1,3) (-4,7) and (-29, k) are collinear. Find k. So, I found the slope of the first two points they gave me, I just don't understand what to do with it from there.
Any 2 points will give you the same slope, since all points are collinear

m, or slope =  --------> 

Therefore,  -----> 

5(k - 7) = - 4(- 25) -------- Cross-multiplying

5k - 35 = 100

5k = 100 + 35

5k = 135

k = , or  

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