Question

The line parallel to the _______ is not a linear ______.

• A. y-axis, relation
• B. x-axis, relation
• C. x-axis, function
• D. y-axis, function

Answer 1

The correct option is D y-axis, function

The line parallel to the x-axis: Let’s consider the line $y=3.$



Each input $\left(x\right)$ has one output $\left(y\right)$, i.e., for all the values of $x,$ the value of y is $3.$
Each input has a unique output. Hence, the line parallel to the x-axis will be a linear function.
The line parallel to the y-axis: Let’s consider the line $x=2.$

One input $\left(x\right)$ has multiple outputs $\left(y\right),$ i.e., for $x=2,$ there are multiple values of $y.$
Each input does not have a unique output.
Hence, the line parallel to the y-axis will not be a linear function.
$\to$ Option B is correct.