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B. y = [tex]\frac{1}{2}[/tex] x + 1

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 up 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

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