Final answer:
The equation of a line with a slope of 0 passing through the point (6, 3) is y = 3, as it denotes a horizontal line where all points have the same y-coordinate.
Step-by-step explanation:
The equation of a line that passes through the point (6, 3) and has a slope of 0 can be determined by understanding how slope works in the context of linear equations. A slope of 0 indicates a horizontal line, meaning the y-coordinate for all points on the line will be the same. Since the line passes through (6, 3), the y-coordinate will remain at 3 no matter the value of x. Therefore, the correct equation of the line is y = 3.
In Figure A1, the slope is described as a rise over run, showing the increase in the vertical axis (y) for every increase in the horizontal axis (x). In our case, there is no rise since the slope is 0, maintaining a constant y-value. Hence, letter d. y = 3 is the correct answer. Options a and c suggest vertical lines which do not correspond to a slope of 0, and b suggests a horizontal line, but the y-value does not match the given point.