# What is the slope of the line passing through  (3,4); (-2,7)?

Slope is $- \frac{3}{5}$
Slope of a line passing through $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.
Hence, slope of a line passing through $\left(3 , 4\right)$ and $\left(- 2 , 7\right)$ is given by $\frac{7 - 4}{- 2 - 3}$ or $- \frac{3}{5}$