Answer:
A line parallel to the y-axis in the (x, y) coordinate plane is undefined.
- Hence, option J is correct.
Step-by-step explanation:
We know that the slope of a vertical line on a coordinate plane is undefined.
We also know that a line parallel to the y-axis is basically a vertical line.
Therefore, a line parallel to the y-axis in the (x, y) coordinate plane is undefined.
- Hence, option J is correct.
EXAMPLE
For example, considering the two points of a line
(x₁, y₁) = (1, 3)
(x₂, y₂) = (1, 5)
Determining the slope between (1, 3) and (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [1 - 1]
= 2/0
= ∞ or undefined
Thus, the slope of the line = m = undefined
Thus, the equation of a line parallel to y-axis passing through the points (1, 3) and (1, 5) will be:
Please also check the attached graph.
