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 $1$.)
(-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