Respuesta :

Ashraf82

Answer:

The slope of the constant function is 0

Step-by-step explanation:

  • The equation of the constant function is f(x) = b, where b is the y-intercept
  • The constant function is represented graphically by a horizontal line, the y-coordinates of all points lie on it is b
  • The slope of any horizontal line is 0 because the difference between the y-coordinates of any two points on the line is 0, then m = 0, so its equation is y = b

∵ The equation of the constant function is in the form f(x) = b

∵ The equation of the horizontal line is y = b

∴ f(x) = y

∵ The slope of the horizontal line is 0

∴ The slope of the constant function is 0

facundo3141592

We want to get the slope of a constant function, we will see that the slope is equal to zero.

Linear functions:

A general linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

For the case of the constant function we have:

y = b

Notice that we can rewrite this as:

y = 0*x + b

Then is easy to see that the slope of the constant function is equal to 0.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/14323743

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