The equation of the blue line in the given graph is y = -x/2 + 2 .
In the question ,
a line graph is given,
we have to find the equation of the blue line .
to find the equation of line , we need at least two points ,
So , from the graph we can see that the two points from where the blue line passes the graph are (4,0) and (0,2) .
the slope = (2-0)/(0-4)
m = 2/(-4)
m = -1/2
So , the equation of the line passing from the points (4,0) with slope -1/2 , is
(y - y₁) = m(x - x₁)
y - 0 = (-1/2)(x - 4)
y = -x/2 + 2
Therefore , The equation of the blue line in the given graph is y = -x/2 + 2 .
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