What is the slope of a horizontal line?
zero
y = 0 x + b
so y = b
where b is a constant value of y
The slope of a horizontal line is 0.
To understand why, let's start with the definition of slope. The slope of a line measures how steep it is. It is calculated as the change in the 'y' coordinates divided by the change in the 'x' coordinates between any two points on the line.
Now, a horizontal line is perfectly flat and does not rise or fall as you move along it. Therefore, the change in the 'y' coordinates between any two points on a horizontal line is always 0. This means that the numerator in the slope formula is 0.
The change in the 'x' coordinates, however, can be any value since you are moving along the horizontal line. But when we divide 0 by any number, the result is always 0.
So, the slope of a horizontal line is 0.