Answer:
[tex]\displaystyle y = -3x + 9[/tex]
Step-by-step explanation:
First, find the rate of change of the line:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]
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Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:
[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]
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