SOLUTION: Hello, I need help with the following math problem: The three points (3,-5), (-a + 2,3), and (2a+3,2) lie on the same line. What is {{{ a }}}? Thank you, Nicole

Question 1043252: Hello,
I need help with the following math problem:
The three points (3,-5), (-a + 2,3), and (2a+3,2) lie on the same line. What is ?
Thank you,
Nicole
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Hello,
I need help with the following math problem:
The three points (3,-5), (-a + 2,3), and (2a+3,2) lie on the same line. What is ?
Thank you,
Nicole
~~~~~~~~~~~~~~~~~~~~~~~~

If three points lie on the same straight lines then the slope between the second and the first points is the same 
   as the slope between the third and the second.

Write this condition. It will give you an equation for "a".
Then solve it and find the value of "a".  
It is linear equation. It is easy to solve it.

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