Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
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:
[tex]A.\ y+1= x\\\\y=x-1[/tex]
This is a Linear function.
[tex]B.\ x=2y-3\\\\x+3=2y\\\\y=\frac{1}{2}x+\frac{3}{2}[/tex]
This is a Linear function.
[tex]C.\ xy=2\\\\y=\frac{2}{x}[/tex]
This is NOT a Linear function.
[tex]D.\ x+1=\frac{3}{4}y\\\\4x+4=3y\\\\y=\frac{4}{3}x+\frac{4}{3}[/tex]
This is a Linear function.
