The graph for y = (1/2)x + 1 is C.
Step-by-step explanation:
y = (1/2)x + 1
This line has a slope of 1/2. Â That is a positive line, so option A is incorrect. Â It also has a y-intercept of 1. Â The value of y when x is zero is 1. Â There are two graphs in which the line intersects (0,1): Â A and C. Â But A has already been rejected, so it must by Graph C: Â
Double check this to see if the slope is 1/2. Â Does y increase by 1/2 for every step of 1 on x? Â Graph C:
x   y
-2 Â Â 0
-1 Â Â Â 1/2
0 Â Â Â 1
+1 Â Â Â 1 1/2
+2 Â Â Â 2
Yes: Â Y increases by (1/2) for every x increase of 1.
The graph for y = (1/2)x + 1 is C.