Respuesta :

Given:

Slope is undefined.

To find:

Which graph has an undefined slope?

Solution:

We know that, slope is change in y-values with respect to x-values.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope is undefined if the denominator is 0.

[tex]x_2-x_1=0[/tex]

[tex]x_2=x_1[/tex]

It means, the x-values are same. It is possible only for a vertical line.

Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.

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