What word is used to define the slope of a vertical line?

Solution:

Slopes are important concepts that can be used to extract various information about different curves. There are many interesting properties related to slopes. Usually, we use differentiation to find the slope of a function at a particular point. A straight line always has a constant slope, but a curve like a parabola or a hyperbola have variable slopes at each point.

We know that the formula for slope is the length of the perpendicular divided by the length of the base.

For the case of a vertical line, the length of the base is zero, which is not possible since the denominator can't be zero.

⇒ Slope = Perpendicular / 0 = undefined

Hence, the slope of a vertical line is always undefined because the denominator can't be zero.

What word is used to define the slope of a vertical line?

Summary:

The slope of a vertical line is always undefined because the denominator can't be zero.