Kalkulator nachylenia

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 $\displaystyle{\large{{P}={\left({x}_{{1}},{y}_{{1}}\right)}}}$ and $\displaystyle{\large{{Q}={\left({x}_{{2}},{y}_{{2}}\right)}}}$ is given by $\displaystyle{\large{{m}=\frac{{{y}_{{2}}-{y}_{{1}}}}{{{x}_{{2}}-{x}_{{1}}}}}}$.

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 $m=2$.