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