Question

question which equation represents a line which is parallel to y = 0? answer x = -2 y = 8 x = y x = 1/5y

Explanation:

Step1: Recall the property of parallel lines

Parallel lines have the same slope. The line $y = 0$ is a horizontal line with a slope of 0.

Step2: Analyze each option

• $x=-2$ is a vertical line with an undefined slope.
• $x = y$ has a slope of 1 ($y=x$ in slope - intercept form $y=mx + b$ where $m = 1$ and $b = 0$).
• $y = 8$ is a horizontal line with a slope of 0, so it is parallel to $y = 0$.
• $x=\frac{1}{5}y$ can be rewritten as $y = 5x$, which has a slope of 5.

Answer:

$y = 8$