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