# What is the slope of the line passing through the following points: (3,5) (8,12)?

Jan 3, 2016

$\frac{7}{5}$

#### Explanation:

Slope of a line passing passing through two points $A \left({x}_{1} , {y}_{1}\right)$ and $B \left({x}_{2} , {y}_{2}\right)$ is given by

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Here Let $A \left({x}_{1} , {y}_{1}\right)$ represent $\left(3 , 5\right)$ and $B \left({x}_{2} , {y}_{2}\right)$ represent $\left(8 , 12\right)$.

Slope of given points$= \frac{12 - 5}{8 - 3} = \frac{7}{5}$

Hence the slope of line passing through the given points is $\frac{7}{5}$.