SOLUTION: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?

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Question 1203671: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
Found 3 solutions by ikleyn, MathLover1, josgarithmetic:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
~~~~~~~~~~~~~~~~~~ 

Write an equation saying that the slope of the segment PQ, where P= (10,-1), Q= (-4,10),
is the same as the slope of the segment QR, where R= (C,-6).

The slope of the segment PQ is   =  = .

The slope of the segment QR is   = .


So, the equation is

     = .


It implies

     = 

    16*14 = 11*(C+4)

     224  = 11C + 44

     224 - 44 = 11C

        180   = 11C

         C    =  = 16.    ANSWER

Solved.



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Find such that ( , ), ( , ), and ( , ) lie on a line. What is the value?

the slope of the line can be calculated using the slope formula:






We know that the slope between the two points ( , ) and ( , ) is also equal to

that is, we can set up an equation involving and solve for









answer is:


and the point is:
( , )
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
slope , ,




Take one of the given points and evaluate b.



equation for the line, .

Want C when y=-6.
.
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