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Find the equation whose graph is the red line shown below. Write your answer in standard form. (Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor 1.)

https://latex.artofproblemsolving.com/7/4/c/74c5df86b7f00975450d79bdc41cd7a1f92e6039.png

Guest Nov 19, 2017
 #1
avatar+88898 
+2

The slope is    -1/2

 

And the point  (2,0) is on the graph

 

So......the equation of the line is

 

y = (-1/2)(x - 2)

 

y = (-1/2)x + 1     multiply through by 2

 

2y  =  -1x + 2 

 

1x + 2y   =   2    ⇒  A = 1, B = 2 and C  = 2  

 

 

cool cool cool

CPhill  Nov 19, 2017

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