How do you write an equation of a line that has no slope and passes through the point (5,-6)?

1 Answer
May 17, 2016

y = -6


The line with zero slope is a special case in that it is parallel to the x-axis and goes through all points on the plane that have the same y-coordinate.
Here it goes through (5 ,-6) but will also pass through (6 ,-6),(0 ,-6),
(-2 ,-6)and so on.

It's equation is just the value of the y-coord that the line goes through.
In this case y = -6
graph{(y+0x+6)=0 [-16.02, 16.01, -8.01, 8.01]}