# What is the slope-intercept form of the line passing through  (-2, -1) and (-6, 8) ?

Oct 31, 2016

The slope-intercept form of the line passing through the two points is $4 x + 9 y + 22 = 0.$

#### Explanation:

Slope (m) of the line joining the two points =(y_2-y_1)/(x_2-x_1 $= \frac{- 6 + 2}{8 + 1}$ $= - \frac{4}{9}$.

$\therefore$In slope-intercept form, $\left(y - {y}_{1}\right) = m \cdot \left(x - {x}_{1}\right)$
$\therefore \left(y + 2\right) = - \frac{4}{9} \cdot \left(x + 1\right)$
$\therefore 9 \cdot \left(y + 2\right) = - 4 \cdot \left(x + 1\right)$
$\therefore 9 y + 18 = - 4 x - 4$
$\therefore 4 x + 9 y + 22 = 0.$

$\therefore$The slope-intercept form of the line passing through the two points is $4 x + 9 y + 22 = 0.$ (answer).