Answer:
y = [tex]\frac{-2}{3}x + 3[/tex]
Step-by-step explanation:
Take any two points
(x₁, y₁) = ( 3 , 1 ) & (x₂ , y₂) = (6 , -1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-1-1}{6-3}\\\\=\frac{-2}{3}[/tex]
m = (-2/3) & (x₁, y₁) = ( 3 , 1 )
y - y₁ = m(x - x₁)
y - 1 = [tex]\frac{-2}{3}(x - 3)[/tex]
y - 1 = [tex]\frac{-2}{3}x - 3 *\frac{-2}{3}[/tex]
y - 1 = [tex]\frac{-2}{3}x + 2[/tex]
y = [tex]\frac{-2}{3}x + 2 + 1[/tex]
y =[tex]\frac{-2}{3}x[/tex] + 3
