Question

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

Answer 1

The equation is not linear

Explanation:

You are given the equation

`(2)/(x)+(y)/(4)=(3)/(2)`

Express y in terms of x:

`(y)/(4)=(3)/(2)-(2)/(x)\\ \\(y)/(4)=(3x-4)/(2x)\\ \\y=4\cdot (3x-4)/(2x)\\ \\y=(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.