y = 4
y = -3
etc.
Replace the number to the right with any convenient number. For example, in the first equation, the line is 4 units above the x-axis.
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y = b
y=b
6
The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.
The graph of [ y = 7 ] is a straight horizontal line, passing through the point [ y = 7 ]on the y-axis. The slope of a horizontal line is zero.