Given:
The graph of a line.
To find:
The equation for the given line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-5) and (5,0). 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-(-5)=\dfrac{0-(-5)}{5-0}(x-0)[/tex]
[tex]y+5=\dfrac{5}{5}(x)[/tex]
[tex]y+5=x[/tex]
Subtract 5 from both sides.
[tex]y+5-5=x-5[/tex]
[tex]y=x-5[/tex]
Therefore, the equation of the given line is [tex]y=x-5[/tex].