The firs part of the given graph ihas a equation in the form y=mx+b (m is theslope, b is the y-intercpet))
To find the slope use the two given points inthe next formula:
The y-intercept is the value of the fuctioon when the line crosses the y-axis (when x=0)
The first part has slop 1 nd y-intercept 2, the equation ofis:
The second part isa horizontal line, the general form of the ewuation of a horizontal line is y=a (a is the vy-alue of the line).
The second part has the equation:
Then, the rules that defined the given graph are: y=x+2, y=5
Answer: Second option (y=x+2; y=5)