Final answer:
The equation of the line that passes through the points (2, 7) and (6, 7) in slope-intercept form is y = 7, as it represents a horizontal line with a slope of 0.
Step-by-step explanation:
The equation in slope-intercept form of the line that passes through the points (2, 7) and (6, 7) can be determined by first calculating the slope (m). Since the y-coordinates are the same, the slope is 0, indicating it is a horizontal line. The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, the y-intercept (b) is 7 (as the line passes through (2, 7) and (6, 7)), thus the equation of the line in slope-intercept form is y = 7.