Given:
The graph of a line.
To find:
The equation of the given line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (2,0). So, the equation of the line is :
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{0-(-2)}{2-0}(x-0)[/tex]
[tex]y+2=\dfrac{2}{2}(x)[/tex]
[tex]y+2=x[/tex]
Subtracting 2 from both sides, we get
[tex]y+2-2=x-2[/tex]
[tex]y=x-2[/tex]
Therefore, the correct option is B.
