Slope Calculator

Find the slope of a line step by step

The calculator will find the slope of the line passing through the two given points or the slope of the given line, with steps shown.

Related calculators: Line Calculator, Parallel and Perpendicular Line Calculator

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Your Input

Find the slope of the line given two points $$$P = \left(2, 3\right)$$$ and $$$Q = \left(5, 9\right)$$$.

Solution

The slope of a line passing through two points $$$P = \left(x_{1}, y_{1}\right)$$$ and $$$Q = \left(x_{2}, y_{2}\right)$$$ is given by $$$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$$.

We have that $$$x_{1} = 2$$$, $$$y_{1} = 3$$$, $$$x_{2} = 5$$$, and $$$y_{2} = 9$$$.

Plug the given values into the formula for a slope: $$$m = \frac{9 - 3}{5 - 2} = 2$$$.

Answer

The slope of the line is $$$m = 2$$$A.


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