Question

How do you write and equation for the horizontal line passing through the point (5,-3)?

Answer 1

`y = -3`

Explanation:

Generally, horizontal lines have the equation `y = k` where `k` is any constant.

Given that you have a horizontal line passing through `(5, -3)`, we know that the only way for a horizontal line to satisfy this condition is if `y` would be equal to `-3`.

Hence we know that the equation of our horizontal line would be:
`y = -3`

Note that in determining the equation of a horizontal line, we can disregard the value of `x` since we know that by drawing a horizontal line, we will be "touching" all the values of `x`. In this case, just look at the `y` coordinate of the given to know the equation of your horizontal line