# What is the equation of the line that passes through (-3,-1) and has a slope of 2/5 ?

Apr 16, 2018

$\implies y = \frac{2}{5} x + \frac{1}{5}$

#### Explanation:

Point-slope equation of a line:

$\implies {y}_{1} - y = m \left({x}_{1} - x\right)$

Now we solve for $y$:

$\implies - 1 - y = \left(\frac{2}{5}\right) \left(- 3 - x\right)$

$\implies - 1 - y = - \frac{6}{5} - \frac{2}{5} x$

$\implies - y = - \frac{1}{5} - \frac{2}{5} x$

$\implies y = \frac{1}{5} + \frac{2}{5} x$

$\implies \textcolor{b l u e}{y = \frac{2}{5} x + \frac{1}{5}}$