Question

Okie help help math math math

Answer 1

`\displaystyle y = -3x + 9`

Explanation:

First, find the rate of change of the line:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-6 + 3)/(-1 + 2) = m \hookrightarrow (-3)/(1) = m \\ \\ \boxed{-3 = m}`

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Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

`\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}}`

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