Question

practice with parallel and perpendicular lines
desmos | graphing calculator | texas version
which of the following equations is parallel to the y - axis?
○ x = 4
○ y = 3
○ y = x

Explanation:

Step1: Recall line - axis parallel rules

Lines of the form $x = a$ (where $a$ is a constant) are vertical and parallel to the $y$ - axis. Lines of the form $y = b$ (where $b$ is a constant) are horizontal and parallel to the $x$ - axis. The line $y=x$ has a slope of 1 and is neither parallel to the $x$ - axis nor the $y$ - axis.

Step2: Analyze each option

For $x = 4$, it is a vertical line. For $y = 3$, it is a horizontal line. For $y=x$, it is a line with a slope of 1.

Answer:

$x = 4$