Answer-
Option A models the equation correctly.
Solution-
The given equation is,
[tex]\Rightarrow 4x + 2y = 8[/tex]
[tex]\Rightarrow 2y = 8-4x[/tex]
[tex]\Rightarrow y =\dfrac{8-4x}{2}[/tex]
[tex]\Rightarrow y = 4-2x[/tex]
[tex]\Rightarrow y = -2x+4[/tex]
Comparing it with the general slope-intercept form of straight line,
[tex]\Rightarrow y = mx+c[/tex]
Here,
m = slope = -2
y-intercept = 4
As the slope is negative in this case, so option B and option D are incorrect.
Now, calculating the x intercept,
[tex]\Rightarrow y = 0[/tex]
[tex]\Rightarrow -2x+4=0[/tex]
[tex]\Rightarrow 2x=4[/tex]
[tex]\Rightarrow x=2[/tex]
So the x intercept is 2.
As in the option A, the y-intercept appears to 4 and x-intercept appears to be its half i.e 2. So option A is the correct graph.
