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
Solution
Your input: find the slope given two points $$$P=\left(2, 3\right)$$$ and $$$Q=\left(5, 9\right)$$$.
The slope of a line passing through the two points `P=(x_1, y_1)` and `Q=(x_2, y_2)` is given by `m=(y_2-y_1)/(x_2-x_1)`.
We have that $$$x_1=2$$$, $$$y_1=3$$$, $$$x_2=5$$$, $$$y_2=9$$$.
Plug the given values into the formula for slope: $$$m=\frac{\left(9\right)-\left(3\right)}{\left(5\right)-\left(2\right)}=\frac{6}{3}=2$$$.
Answer: the slope of the line is $$$m=2$$$.