# What is the equation of the line with slope  m= 8/25  that passes through  (42/5 21/10) ?

Feb 3, 2016

I found: $y = \frac{8}{25} x - \frac{147}{250}$

#### Explanation:

You could use the general expression for a line thrugh (x_0,y_0) and slope $m$ given as:
$y - {y}_{0} = m \left(x - {x}_{0}\right)$
giving:
$y - \frac{21}{10} = \frac{8}{25} \left(x - \frac{42}{5}\right)$
rearranging:
$y = \frac{8}{25} x - \frac{336}{125} + \frac{21}{10}$
$y = \frac{8}{25} x - \left[\frac{3360 - 2625}{1250}\right]$
$y = \frac{8}{25} x - {\cancel{735}}^{147} / {\cancel{1250}}^{250}$
$y = \frac{8}{25} x - \frac{147}{250}$