Final answer:
The equation of the line passing through the points (0, 1/2, 1) and (2, 1, -3) is y = 1/4 * x + 1/2.
Step-by-step explanation:
To find the equation of the line passing through the points (0, 1/2, 1) and (2, 1, -3), we can use the point-slope form of the equation of a line. Let's label the first point as (x1, y1, z1) and the second point as (x2, y2, z2).
Using the formula, the equation of the line is:
y - y1 = (y2 - y1) / (x2 - x1) * (x - x1)
Substituting the given values:
y - 1/2 = (1 - 1/2) / (2 - 0) * (x - 0)
Simplifying the equation:
y = 1/4 * x + 1/2