Question

Determine if the equation is linear. If so, graph the function.

Answer 1

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

$\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}$

Express y in terms of x:

$\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}$

The linear function must of form

$y=mx+b,$

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.