# 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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#### Following knowledge from mathematics are needed to solve this word math problem:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. Do you have a system of equations and looking for calculator system of linear equations?

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