what is the slope intercept equation for the following line? 
(see image)

Answer:
y = x + 1
Step-by-step explanation:
You can immediately read off the y-intercept from the graph: (0, 1). The slope of this line is negative. Choosing two different points on this line leads to finding the slope of the line: (0, 1) and (2, -1) Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2. Thus, the slope is m = rise/run = 2/2 = 1.
The slope-intercept equation of this line is therefore y = x + 1.
Answer:
y=-1x+1
Step-by-step explanation:
To find the slope, we can use rise (vertical) over run (horizontal).
m=rise/run
We can see that from the first point to the second point, x increased by 2 and y decreased by 2.
The rise is -2 and the run is 2.
m=2/-2=-1.
The slope is -1.
Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)
This point is at (0,1), so b=1.
The y-intercept is 1.
This is the format for slope-intercept form: y=mx+b.
The slope-intercept equation is y=-1x+1.