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The points (a,1), (9,0), and (-3,4) lie on a straight line. Find a.

 Aug 4, 2022
 #1
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+1

The slope between  points on a line will be constant

 

So

 

(4 - 0) /( -3-9)  =  4 / (-12)  =   -1/3  =   slope

 

So

 

(0 - 1)  / (9 - a)  =    -1 / 3

 

   - 1 / ( 9 -a)  =   -1/3

 

This implies that     9 - a   =   3

 

So    a  =  6

 

cool cool cool

 Aug 4, 2022

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