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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 $1$.)

 

 Mar 9, 2024
 #1
avatar+129659 
+1

(-4,0) and (0,2)  are on the  graph

The slope is  [ 2 -0 ]/ [ 0  - -4 ] =  2/4 = 1/2

Using the slope and (0,2)  the equation of the line is

 

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

 

2y = x  + 4

 

Rearrange as

 

x - 2y =  -4

 

cool cool cool

 Mar 9, 2024

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