Final answer:
The end points of the major axis of the ellipse given by the equation x²/16 + y²/36 = 1 are (0, 6) and (0, -6), as the major axis runs along the y-axis with a length of 12 units.
Step-by-step explanation:
To find the end points of the major axis of the ellipse given by the equation x²/16 + y²/36 = 1, we need to identify the length of the major axis and its orientation. For an ellipse in standard form x²/a² + y²/b² = 1, where a and b are the semi-major and semi-minor axes respectively, the major axis lies along the axis with the larger denominator under its variable. In this case, b² = 36 is larger than a² = 16, so the major axis runs vertically along the y-axis.
The semi-major axis is half the length of the major axis, so in this case, it is √36 = 6 units. The end points of the major axis are thus at the maximum and minimum values of y when x=0, which gives us the points (0, 6) and (0, -6).