Question

question which equation represents a line which is parallel to the y - axis? answer x = 2 x = 1/5y y = 1 x = 3y

Explanation:

Step1: Recall line - axis relationship

Lines parallel to the y - axis have a constant x - value for all y - values. Their equations are of the form $x = k$, where $k$ is a real - number.

Step2: Analyze each option

• For $x = 2$, the x - coordinate is always 2 regardless of the y - value, so it is a vertical line parallel to the y - axis.
• For $y = 1$, the y - coordinate is always 1 regardless of the x - value, so it is a horizontal line parallel to the x - axis.
• For $x=\frac{1}{5}y$, we can rewrite it as $y = 5x$, which is a line with a slope of 5 passing through the origin.
• For $x = 3y$, we can rewrite it as $y=\frac{1}{3}x$, which is a line with a slope of $\frac{1}{3}$ passing through the origin.

Answer:

$x = 2$