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 (3,-2). 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{-2-2}{3-0}(x-0)[/tex]
[tex]y-2=\dfrac{-4}{3}x[/tex]
Adding 2 on both sides, we get
[tex]y=-\dfrac{4}{3}x+2[/tex]
Therefore, the equation for the given line is [tex]y=-\dfrac{4}{3}x+2[/tex].
