Slope and Y-intercept

y = mx + b

m represents the slope

b represents the y-intercept

Example: y=3x+4

m(slope)=3

b(y-intercept)=4

Points: (-2,-4) (2,-2)

 $m=\frac{y_2-y_1}{x_2-x_1}$  

 $m=\frac{-2-\left(-4\right)}{2-\left(-2\right)}$  

 $m=\frac{1}{2}$  

Write an equation of the line that goes through the points (-2, 1) and (4, 2).

To write an equation, you need two things:

To write an equation, you need two things:
 slope (m) = $\frac{1}{6}$  
 y – intercept (b) =?

 $2=\frac{1}{6}\left(4\right)+b$  

b= $\frac{4}{3}$  

Find the slope: $\ (3,7)\ and\ (5,11)$    $\frac{11-7}{5-3}=\frac{4}{2}=2$  

 $Now\ we\ have\ y=2x+b$  

 $Let's\ use\ (3,7)\ \ y=2x+b\ \ \ 7=2(3)+b$  

 $7=6+b$  

 $1=b$