Question

which of the following equations represent linear functions? A. x^2+y^2=1 B. x+y=14 C. y=6/x D. y=3(2x+1)

Answer 1

A linear function has this form:

`y=ax+b`

Notice that option A cannot be written in this form, because x and y have a square power. If you clear y you'll get:

`y=\sqrt[]{1-x^2}`

Option B you can write it in the form of a linear equation:

`y=14-x`

For this option, a = -1 and b = 14

Option C cannot be written in this form:

`y=(6)/(x)`

And option D can be written like that:

`y=6x+3`

Here, a=6 and b=3.

So, options B and D are linear equations