# What is the equation of the line with slope  m= -17,13  that passes through  (-29,17) ?

##### 1 Answer
Jan 25, 2018

$\textcolor{g r e e n}{17 x + 13 y = 714}$

#### Explanation:

Assuming the slope to be $- \left(\frac{17}{13}\right)$

Standard form of equation, given slope and one point on the line is

$y - y 1 = m \left(x - x 1\right)$

Given $x 1 = - 29 , y 1 = 17 \mathmr{and} m = - \left(\frac{17}{13}\right)$

$y - 17 = - \left(\frac{17}{13}\right) \cdot \left(x - \left(- 29\right)\right)$

13 * (y - 17) = -17 * (x + 29

$13 y - 221 = - 17 x + 493$

$17 x + 13 y = 221 + 493$

$\textcolor{g r e e n}{17 x + 13 y = 714}$