# What is the equation of the line with slope  m= -40/49  that passes through  (18/7, 34/21) ?

Mar 19, 2016

$840 x + 1029 y = 3826$

#### Explanation:

Equation of the line with slope m=−40/49 that passes through $\left(\frac{18}{7} , \frac{34}{21}\right)$ is given by point slope form and is

$\left(y - \frac{34}{21}\right) = - \frac{40}{49} \left(x - \frac{18}{7}\right)$ or

$49 \left(y - \frac{34}{21}\right) = - 40 \left(x - \frac{18}{7}\right)$ or

$49 y - \cancel{49} 7 \times \frac{34}{\cancel{21} 3} = - 40 x + 40 \times \frac{18}{7}$

Multiplying both sides by $21$

$21 \times 49 y - 49 \times 34 = - 40 \times 21 x + 120 \times 18$ or

$1029 y - 1666 = - 840 x + 2160$ or

$840 x + 1029 y = 3826$