We can see that the line passes by the points (0, -5) & (5, 0), using this information we proceed as follows:
1st: We find the slope(m):
[tex]m=\frac{0+5}{5-0}\Rightarrow m=1[/tex]
2nd: We use one of the points from the line and the slope to replace in the following expression:
[tex]y-y_1=m(x-x_1)[/tex]
That is (Using point (0, -5):
[tex]y+5=1(x-0)[/tex]
Now, we solve for y:
[tex]\Rightarrow y=x-5[/tex]
And that is the equation of the line shown.
