What is the slope if the line is differeniable.

1 Answer

  • Step-by-step explanation:

    you mean "differentiable" ?

    well, remember, a line equation is

    y = ax + b

    a is the slope

    it is always, ALWAYS the factor of x.

    now we differentiate the line equation per dx/dy

    y' = a

    and that is that.

    the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

    and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.