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How do you solve lines

 

Find the equation whose graph is 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 $1$.)

 

 Oct 5, 2023
 #1
avatar+36919 
+1

Pick any two points on the line to calculate the slope = rise/run = 1/2 

    then    y = 1/2 x + b      sub in any point to calculate the value of 'b'

               2 = 1/2(0) + b     shows b = 2

 y = 1/2 x + 2    re-arrange

1/2 x - y = -2     multip;ly through by 2  ( to get rid of the fraction)

x - 2y = -4 

 Oct 5, 2023

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