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The line appears to cross the y-axis at the point  (0, -1)  , so the y-intercept is  -1 .

The points  (1, 0)  and  (0, -1)  appear to be on the line. Using these two points we can find the slope.

slope  =  \(\frac{\text{rise}}{\text{run}}\ =\ \frac{y_2-y_1}{x_2-x_1}\ =\ \frac{-1-0}{0-1}\ =\ \frac{-1}{-1}\ =\ 1\)

Now we know the y-intercept is  -1  and the slope is  1. So the equation of this line in slope-intercept form is....

y  =  1x - 1

y  =  x - 1

Also....

We can see that the slope is  1  by counting the units on the graph. To get from the point  (0, -1)  to the point  (1, 0)

we have to go up 1 unit and to the right 1 unit, so the slope  =  1/1  =  1