O slope of a line is a value that indicates the slope of the line in relation to the abscissa axis (x axis).
There are a few different ways to calculate the slope, let's see what they are?
Calculation of slope
Consider, for example, the line in the figure below:
The slope corresponds to tangent of the angle . Thus, representing the slope by the letter , We have to:
And we can establish some different ways to calculate the slope.
Calculating the slope from the angle
Knowing the angle of inclination, just calculate the tangent of that angle.
Example: if , then:
To know the value of the tangent of an angle, just consult a trigonometric table.
Calculation of slope from two points
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If we know two points that belong to the line, and , we can calculate the slope as follows:
To understand this formula, notice that in the figure, a right triangle, with and and remember that .
Example: given the points and , we have:
Calculation of the slope from the equation of the straight line
Consider the equation of the line , with the and real numbers and , then:
Example: given the equation , we can rewrite it as follows:
Therefore, .
You may also be interested:
- First degree function (affiliated function)
- quadratic function
- linear function
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