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
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.