Answer:
The equation is not linear
Step-by-step explanation:
You are given the equation
[tex]\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}[/tex]
Express y in terms of x:
[tex]\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}[/tex]
The linear function must of form
[tex]y=mx+b,[/tex]
where m and b are real numbers.
Your function is not of this form, so this is not a linear function.
