Question

How do you find the equation of the line through the point (6 , -1) and is perpendicular to the y axis?

Answer 1

The equation would be `y=-1`.

Explanation:

Since the line is perpendicular to the `y`-axis, it will be a horizontal line that runs through `(6,-1)`.

In this case, the `x`-coordinate doesn't matter; no matter what, if the line is horizontal to the `y`-axis, it will be horizontal, and thus it will be the same value regardless of the `x`-value.

In this case, the `y`-value is `-1` throughout the line.

Answer 2

`y=-1`

Explanation:

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In this case the line goes through the point `(x,y) = (6,-1)` so it has a y value of -1 since the line is horizontal that y value must also be the y intercept so the equation is:

`y=-1`