# What is the equation of the line with slope  m= 6/25  that passes through  (1/5 -3/10) ?

Nov 24, 2015

$y = \frac{6}{25} x - \frac{87}{250}$

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#### Explanation:

Standard form equation$\to y = m x + c . , \ldots \ldots \ldots . \left(1\right)$

You are given $\left(x , y\right) \to \left(\frac{1}{5} , - \frac{3}{10}\right)$

You are also given $m \to \frac{6}{25}$

Substitute in and solve for c

So equation (1) becomes

$- \frac{3}{10} = \left(\frac{6}{25}\right) \left(\frac{1}{5}\right) + c$

To make things simpler multiply everything by 25 giving

$\left(- 3\right) \left(2.5\right) = \left(6\right) \left(\frac{1}{5}\right) + 25 c$

$25 c = - 7.5 - 1.2$

$c = \frac{- 7.5 - 1.2}{25}$

$c = - \frac{8.7}{25}$

To remove the decimal multiply by 1 but in the form of $\frac{10}{10}$

$c = - \frac{8.7}{25} \times \frac{10}{10} = \frac{87}{250}$

so equation (1) becomes

$y = \frac{6}{25} x - \frac{87}{250}$