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 :
[tex]\heartsuit\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Points are (1 , 2) and (4 , -4)
here x₁ = 1 and x₂ = 4 and y₁ = 2 and y₂ = -4
[tex]\heartsuit\;Slope(m) = \frac{2 + 4}{1 - 4} = \frac{6}{-3} = -2[/tex]
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
