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Concept

$m=runrise $

In the graph above, it can be seen that the line does not rise. In other words, the vertical change between any two points is $0.$ Therefore, its slope is $0.$ In fact, all horizontal lines have slope $m=0.$ The slope-intercept form of horizontal lines can be written as follows.
$y=0⋅x+b⇔y=b $

Therefore, all horizontal lines can be written in this form, where $b$ is the $y-$intercept.