# What is the equation of the line with slope  m= -3/17  that passes through  (11,1) ?

$3 x + 17 y = 50$

#### Explanation:

From the given
slope $m = - \frac{3}{17}$ and $\left(11 , 1\right)$

Use Point-Slope Form

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

$y - 1 = \left(- \frac{3}{17}\right) \left(x - 11\right)$
Multiply both sides of the equation by $17$
$17 \left(y - 1\right) = 17 \left(- \frac{3}{17}\right) \left(x - 11\right)$
$17 y - 17 = - 3 \left(x - 11\right)$
$17 y - 17 = - 3 x + 33$

The required equation is

$3 x + 17 y = 50$

God bless....I hope the explanation is useful.