Question

Which of the linear equations represents the graphed line?

Answer 1

Answer: $y = \frac{2}{3}x + 1$ (choice B)

The y intercept is 1 as this is where the graph crosses the y axis. So b = 1

The slope is m = 2/3 because we go up 2 for each time we move 3 units to the right. Example: moving from (0,1) to (3,3)

That means y = mx+b turns into $y = \frac{2}{3}x+1$

This looks like choice B is the closest match though the formatting you posted is a bit jumbled.