Final answer:
The equation of the line parallel to y=2 passing through (3,4) is y = 2x - 2.
Step-by-step explanation:
The equation of a line parallel to another line can be written in the form y = mx + b, where m is the slope of the line. Since we know that the line is parallel to y = 2, the slope of the line we're looking for will also be 2. Using the point-slope form of a line equation, we can substitute the values of the given point (3,4) and the slope (2) into the equation to find the y-intercept (b).
So, the equation of the line passing through (3,4) parallel to y = 2 is y = 2x - 2.