Final answer:
The equation of the line passing through the points (1, 6) and (1, 2) is y = 6.
Step-by-step explanation:
To find the equation of a line passing through two points, we need to find the slope and the y-intercept. The formula for finding the slope is: slope = (y2 - y1) / (x2 - x1). Using the points (1, 6) and (1, 2), we have a slope of 0. Therefore, the slope-intercept form of the equation is y = 0x + b. To find the y-intercept, we can substitute the coordinates of one of the points into the equation. When we substitute (1, 6), we get 6 = 0(1) + b. Solving for b, we get b = 6. Therefore, the equation of the line is y = 0x + 6, which simplifies to y = 6.