Answer:
y = (1/2)x + 1 <---- Answer B
Step-by-step explanation:
In form y = mx + b, m is the slope and b is the y-intercept.
The y-intercept always has an x-coordinate of zero, swe are really asking what is the y-coordinate where the line intercepts the y-axis. Look at the picture. The coordinates where the line intercepts the y-axis are (x, y) = (0, 1).
So the y-intercept is 1.
b = 1
The slope is the rise (or fall) of the graph as it goes left to right.
We see it goes <u>up</u> 2 units (from y=1 to y=3) in the same interval where it goes to the right 4 units (from x=0 to x=4). So, the rise/run = +2/4 = 1/2.
m = 1/2
Just substitute the values we found for b and m back into "y=mx+b"
y = (1/2)x + 1 <---- Answer B