Question

1

3. Which does NOT represent a linear function?
A y+1= x
B x=2y-3
C xy=2
D x+1=3/4y

Answer 1

Answer: OPTION C.

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

In order to verify which fucntion is not linear, you can solve for "y" from each function. Then:

`A.\ y+1= x\\\\y=x-1`

This is a Linear function.

`B.\ x=2y-3\\\\x+3=2y\\\\y=(1)/(2)x+(3)/(2)`

This is a Linear function.

`C.\ xy=2\\\\y=(2)/(x)`

This is NOT a Linear function.

`D.\ x+1=(3)/(4)y\\\\4x+4=3y\\\\y=(4)/(3)x+(4)/(3)`

This is a Linear function.