# What is the equation of the line passing through (-8,7)  with slope m= -1/17?

##### 1 Answer

$x + 17 y = 111$

#### Explanation:

use the point-slope form

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

$y - 7 = - \frac{1}{17} \left(x - - 8\right)$

$y = - \frac{1}{17} \left(x - - 8\right) + 7$

$y = - \frac{1}{17} \left(x - - 8\right) + 7 \cdot \frac{17}{17}$

$y = - \frac{x}{17} - \frac{8}{17} + \frac{119}{17}$

$y = - \frac{x}{17} + \frac{111}{17}$

$x + 17 y = 111$

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