What is the slope of the line y equals a?

Answer 1

To get the slope of an equation just differentiate it with respect to the independent variable.

d/dx (y = a)

dy/dx = d/dx (a)

{dy/dx = y'} a has no x term so {d/dx (a) = 0}

y' = 0 and since y' represents the slope, the slope is equal to 0


Or you could just know that a y=a is a horizontal line, therefore the slope is always 0, no matter what a equals.