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Slope of Linear Equation

the variables in linear equations have no exponents

the slope of linear equation is the change in y values divided by the change in x values

x - 3 = -5 what is the slope?

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Feb 27, 2012
Slope of Vertical Linear Equation
by: Staff


x - 3 = -5 what is the slope?


x - 3 = -5

x - 3 + 3 = -5 + 3

x + 0 = -2

x = -2

x always = -2, regardless of the value of y

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slope = “rise” over “run”, or “rise” DIVIDED BY “run”

slope = (change in “y” values)/(change in “x” values)

slope = (y₂ - y₁)/(x₂ - x₁)

The x-y coordinates of the two points are: (-2, y₁) and (-2, y₂)

The slope will be calculated as the change of “y” when x increases. In this case “x” does not change, regardless of the value of y.

slope = (y₂ - y₁)/(-2 – (-2))

slope = (y₂ - y₁)/(-2 + 2)

slope = (y₂ - y₁)/ 0

slope = undefined (or ±∞)

>>>the final answer is: slope = vertical = undefined (or ±∞)

Thanks for writing.


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