# What is the equation of the line with slope  m= -14/25  that passes through  (23/5 -23/10) ?

Dec 16, 2015

$y = - \frac{14}{25} x + \frac{69}{250}$

#### Explanation:

A general equation to model a linear function is:

$y = m x + b$

where:
$y =$y-coordinate
$m =$slope
$x =$x-coordinate
$b =$y-intercept

Assuming that your point is $\left(\frac{23}{5} , - \frac{23}{10}\right)$, substitute your known values into the equation and solve for $b$, the y-intercept:

$y = m x + b$

$- \frac{23}{10} = - \frac{14}{25} \left(\frac{23}{5}\right) + b$

$- \frac{23}{10} = - \frac{322}{125} + b$

$- \frac{23}{10} + \frac{322}{125} = b$

$\frac{- 23 \left(25\right) + 322 \left(2\right)}{250} = b$

$\frac{- 575 + 644}{250} = b$

$b = \frac{69}{250}$

$\therefore$, the equation is $y = - \frac{14}{25} x + \frac{69}{250}$.