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

Jun 25, 2018

Point-slope form: $y = \frac{14}{25} x - \frac{69}{250}$
Standard form: $140 x - 250 y = 69$

Explanation:

Remember that $y = m x + b$ is the formula for point-slope form. All we have to do is plug in values and solve for $b$:

$\frac{23}{10} = \frac{14}{25} \left(\frac{23}{5}\right) + b$
$\frac{23}{10} = \frac{322}{125} + b$
$- \frac{69}{250} = b$
$y = \frac{14}{25} x - \frac{69}{250}$

If you need standard form, here it is:

$- \frac{14}{25} x + y = - \frac{69}{250}$
$- 250 \cdot \left(- \frac{14}{25} x + y\right) = \left(- \frac{69}{250}\right) \cdot - 250$
$140 x - 250 y = 69$

Hope this helped! :)