Final answer:
The equation of the line is y = √3x + 3, with a slope determined by the tan(60°) and a y-intercept of 3 units.
Step-by-step explanation:
To find the equation of a line making a 60° angle with the positive x-axis and having a y-intercept of 3 units, we can use the formula for a straight line, which is y = mx + b, where m is the slope and b is the y-intercept.
The slope (m) can be found using the tangent of the angle the line makes with the x-axis. Since the angle is 60°, we find m = tan(60°) = √3. Thus, the equation of the line is y = √3x + 3.