Answer:
Step-by-step explanation:
The (positive) slope of the line whose domain is (-infinity, -1) is
m = rise/run = 1/1, or m = 1. The (negative) slope of the other line segment is
m = rise/run = -1/1, or m = -1.
Let's now find the equation of the line with m = 1. Using the slope-intercept form, y = mx + b, where m = +1, we get 1 = +1(-1) + b, or b = 2. Then the equation is y = x + 2 on the domain (-infinity, -1).
Now find the equation of the line with negative slope:
y = -x + b; the y-intercept is immediately evident from the graph as b = 0.
Then the desired eequation is y = -x on the domain (-1, infinity).
