Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph it is clear that the line passes through the points (0,-2) and (4,1). 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{1-(-2)}{4-0}(x-0)[/tex]
[tex]y+2=\dfrac{1+2}{4}(x)[/tex]
Subtracting 2 from both sides, we get
[tex]y=\dfrac{3}{4}x-2[/tex]
Therefore, the equation of given line is [tex]y=\dfrac{3}{4}x-2[/tex].
