# What is the slope-intercept form of the line passing through  (-4. 1)  and (-3, 5) ?

Dec 20, 2015

$y = 4 x + 17$

#### Explanation:

Given-

${x}_{1} = - 4$
${y}_{1} = 1$
${x}_{2} = - 3$
${y}_{2} = 5$

$\left(y - {y}_{1}\right) = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \left(x - {x}_{1}\right)$
$\left(y - 1\right) = \frac{5 - 1}{\left(- 3\right) - \left(- 4\right)} = \left(x - \left(- 4\right)\right)$
$\left(y - 1\right) = \frac{5 - 1}{- 3 + 4} = \left(x + 4\right)$
$y - 1 = 4 \left(x + 4\right)$
$y - 1 = 4 x + 16$
$y = 4 x + 16 + 1$
$y = 4 x + 17$