Question

ellen thinks that if a line has no slope, then it never touches the y - axis. which line proves that her statement is incorrect?
o x = 0
o y = 0
o x = 1
o y = 1

Explanation:

Step1: Recall slope - less line concept

A line with no slope is a vertical line. The equation of a vertical line is of the form $x = a$, where $a$ is a constant.

Step2: Analyze each option

• For $x = 0$, it is the $y$-axis itself. It has an undefined (no) slope and touches the $y$-axis.
• For $y = 0$, it is the $x$-axis, which has a slope of 0.
• For $x = 1$, it is a vertical line with no slope and touches the $y$-axis at the point $(0,1)$.
• For $y = 1$, it is a horizontal line with a slope of 0.

Answer:

A. $x = 0$