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

Choose type:

Enter two points or

Point 1: (, )

Point 2: (, )

Enter a line:
y=-x-5 or 2x-7y=3.

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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 $$$m=2$$$.