# How do you write the equation in slope intercept form given (-10,9) with the slope -3/5?

$\implies 3 x + 5 y = 15$
The Eq of St line passing through $\left({x}_{1} , {y}_{1}\right) = \left(- 10 , 9\right)$ and having slope ,$m = - \frac{3}{5}$ is givem by
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
$\implies y - 9 = - \frac{3}{5} \cdot \left(x - \left(- 10\right)\right)$
$\implies 5 y - 45 = - 3 x - 30$
$\implies 3 x + 5 y = 15$