# What is the slope-intercept form of the line passing through (2, 2)  and  (-4, 1) ?

Apr 12, 2018

$y = \frac{1}{6} x + 1 \frac{2}{3}$

#### Explanation:

Slope-intercept form: $y = m x + b$, where m represents sleep and b represents the y-intercept

First let's find the slope through two points:

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \rightarrow$ Plug the points in

$\frac{1 - 2}{- 4 - 2}$

$\frac{- 1}{- 6}$

Slope is $\frac{1}{6}$

Our current equation is $y = \frac{1}{6} x + b$. To find b, let's plug in one of the points (I'll use $\left(2 , 2\right)$).

$2 = \frac{1}{6} \cdot 2 + b$

$2 = \frac{1}{3} + b$

$b = 1 \frac{2}{3}$

Our equation is color(red)(y=1/6x+1 2/3