The slope of this graph is -1.
I determined this by using the equation slope= rise/run. In this case, the rise is one and the run is one. This means that the slope is one. Additionally, I notice that the slope is a negative slope which is how I got -1.
You can also use the equation slope = (y2 - y1) all over (x2 - x1). You can do this by getting to ordered pairs from the graph. I took (0,3) and (3,0). So, My equation would be 3-0 all over 0-3. This comes out to 1/-1, which proves the slope is -1.
So again, your answer is the slope is -1.
Hope this helps :)