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Answer:
Example of an equation with an undefined slope: x = 2
Step-by-step explanation:
<h2>Definitions</h2>The standard form of linear equations with an <u>undefined slope</u> is <em>x</em> = <em>a</em>, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (<em>a</em>, 0).
The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.
The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.
<h2>Example:</h2>For example, suppose that we have the following points (2, 5) (2, 10).
Let (x₁, y₁) = (2, 5)
(x₂, y₂) = (2, 10)
Substitute these values into the slope formula:
Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.
Thus, the equation of the <u>vertical line</u> will be: x = 2, where <em>a</em> = 2.