Final answer:
The y-intercept of the line parallel to 1/3x - 4/3 and passing through the point (-6, 5) is 2.
Step-by-step explanation:
When two lines are parallel, they have the same slope. So, the line parallel to √1/3x - 4/3 will also have a slope of 1/3.
We can use the point-slope form of a line, y - y1 = m(x - x1), to find the equation of the line passing through (-6, 5) with a slope of 1/3.
Plugging in the values, we have y - 5 = 1/3(x - (-6)), which simplifies to y - 5 = 1/3(x + 6).
The y-intercept is the value of y when x = 0. Substituting x = 0 into the equation, we get y - 5 = 1/3(0 + 6), which simplifies to y - 5 = 2. Solving for y, we find that the y-intercept is 2. So, the answer is a. 2.