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

1 Answer
Nov 14, 2017

#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