Writing Linear Equations

$$y-\left(1\right)=\left(\frac{-4-\left(1\right)}{5-\left(2\right)}\right)\left(x-\left(2\right)\right)$$  

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

$$y-\left(1\right)=\left(\frac{5-\left(2\right)}{-4-\left(1\right)}\right)\left(x-\left(2\right)\right)$$  

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

$$y-\left(3\right)=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x-\left(2\right)\right)$$  

$$y-\left(2\right)=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x-\left(3\right)\right)$$  

$$y+3=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x+2\right)$$  

$$y+2=\left(\frac{2-\left(3\right)}{3-\left(2\right)}\right)\left(x+3\right)$$  

y = - x + 5

y = -x - 5

y = x + 5

y = x - 5

$$y=\frac{-x}{3}+\frac{16}{3}$$  

$$y=\frac{x}{3}-\frac{16}{3}$$  

$$y=\frac{-x}{3}-\frac{16}{3}$$  

$$y=\frac{x}{3}+\frac{16}{3}$$