Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?

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?

x = 0
y = 0
x = 1
y = 1

Answer 1

In this case, the line that proves Ellen's statement incorrect is x = 0.

The equation x = 0 represents a vertical line that passes through the x-coordinate 0. This line is parallel to the y-axis and touches the y-axis at the point (0,0). Therefore, it contradicts Ellen's statement that a line with no slope never touches the y-axis.