# Three points 4

The line passed through three points - see table:

x y
-6 4
-4 3
-2 2

Write line equation in y=mx+b form

Result

f = (Correct answer is: -0.5x+1) #### Solution:

$f(x) = mx+b \ \\ \ \\ \ \\ 4 = (-6) \cdot \ m + b \ \\ 3 = -4 \cdot \ m+b \ \\ \ \\ b-6m = 4 \ \\ b-4m = 3 \ \\ \ \\ b = 1 \ \\ m = \dfrac{ -1 }{ 2 } = -0.5 \ \\ \ \\ f(x) = -0.5x+1 \ \\ \ \\ f_{ 3 } = -0.5 \cdot \ (-2)+1 = 2 \ \\ \ \\ f = -0.5x+1$

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