The general expression for the equation of line is :
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Consider any two coordinates of the line in the given graph :
A(0,2) and B(-4,0)
Substitute these coordinates in the general equation of line :
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \text{ for (0},2)\text{ \& (-4,0)} \\ y-2=\frac{0-2}{-4-0}(x-0) \\ y-2=\frac{-2}{-4}x \\ y-2=\frac{1}{2}x \\ y=\frac{1}{2}x+2 \end{gathered}[/tex]The equation of line is y = 1/2x + 2
Answer : C) y = 1/2x + 2
