# What is the equation of the line with slope  m= -2/7  that passes through  (3/4,-1/7) ?

Jan 10, 2016

$4 x + 14 y = 1$

#### Explanation:

Use the formula $y - {y}_{1} = m \left(x - {x}_{1}\right)$ where m is the gradient and $\left({x}_{1} , {y}_{1}\right)$ is any point on the line and you get:

$y + \frac{1}{7} = - \frac{2}{7} \left(x - \frac{3}{4}\right)$

$7 y + 1 = - 2 \left(x - \frac{3}{4}\right)$

$7 y + 1 = - 2 x + \frac{3}{2}$

$14 y + 2 = - 4 x + 3$

$4 x + 14 y = 1$