Look at the image below
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We can notice that : Line Passes through the Points (1 , 2) and (4 , -4)
Let us find the slope of the line in order to write the Equation of the Line.
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Points are (1 , 2) and (4 , -4)
here x₁ = 1 and x₂ = 4 and y₁ = 2 and y₂ = -4
Equation of the Line passing through (1 , 2) and having slope -2 is :
⇒ y - 2 = -2(x - 1)
⇒ y = -2x + 2 + 2
⇒ y = -2x + 4