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Finding the Slopes of and
Determine the slope of each line by first identifying whether it is vertical or horizontal from its equation.
ⓐ The equation contains only the variable , so its graph is a vertical line. Every point on this line has an x-coordinate of , meaning there is no horizontal change between any two points — the run is always . Because division by zero is undefined, the slope of is undefined.
ⓑ The equation contains only the variable , so its graph is a horizontal line. Every point on this line has a y-coordinate of , meaning there is no vertical change between any two points — the rise is always . Substituting into the slope formula gives . The slope of is .
This example illustrates a quick identification strategy: if the equation has only , the line is vertical with an undefined slope; if it has only , the line is horizontal with a slope of .
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Finding the Slopes of and
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Learn After
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