Respuesta :

Your diagram is so small that I have to strain to see it.  From what I can see, the x-intercept of your graph is -1 and the y-intercept is 1.

As you move from left to right, x increases by 1 to 0 and y increases by 1 to 1.
Thus, the slope of the line is m = rise / run = 1/1 = 1, and the general form of the equation of the line is    y = mx + b, or     y = 1x + b.

The point (0,1) gives you the y-intercept, b:  When x = 0, y = 1.   Thus,

y = x + 1 (answer)