Question

Which function is nonlinear?Which equation represents a nonlinear function? (Let me know if you can’t read the possible answers for the equation and I will send them)

Answer 1

Given:

There are 4 equation representations are given.

To find:

The nonlinear equation.

Step-by-step explanation:

A)

`\begin{gathered} 3x-2y=7 \\ i.e)3x-2y-7=0 \end{gathered}`

Which is of the linear form,

`ax+by+c=0`

B)

`y=(2)/(3)x+8`

Which is of the linear form,

`y=mx+c`

C)

Let us consider the two points.

`(5,0),(6,2)`

Using the two-point formula,

`\begin{gathered} (y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1) \\ (y-0)/(2-0)=(x-5)/(6-5) \\ (y)/(2)=(x-5)/(1) \\ y=2x-10 \end{gathered}`

Substituting the first point to verify the linear equation,

`\begin{gathered} -4=2(3)-10 \\ -4=-4 \end{gathered}`

Therefore, the linear equation is satisfied for all 4 points.

Thus, options A, B, and C are linear equation.

So, the nonlinear equation must be given options D.

Final answer:

The correct option is D.