Question

What is the equation of the line that is parallel to the y-axis and passes through the ordered pair (-3,5)

Answer 1

x = -3

Explanation:

We cant write it in slope-intercept form, because there is no y-intercept, and the general form would be x = k, where k is the x-intercept

Answer 2

`\sf x = -3`

Explanation:

A line that is parallel to the y-axis is vertical, and its equation is of the form
`\sf x = \text{constant}`.

Since it passes through the ordered pair
`\sf (-3, 5)`, the constant value in this case is the x-coordinate of the given point.

Therefore, the equation of the line parallel to the y-axis passing through
`\sf (-3, 5)` is:

`\sf x = -3`

This equation represents a vertical line passing through the point
`\sf (-3, 5)` and is parallel to the y-axis.