Final answer:
The equation of the line that is parallel to segment BC and passes through (2,2) is y = 2x - 2.
The correct answer is C.
Step-by-step explanation:
The equation of a line that is parallel to segment BC and passes through the point (2,2) can be found using the point-slope form of a linear equation.
The slope of the line BC can be determined by finding the slope of the line segment BC. Once the slope is determined, we can use the point-slope form equation to find the equation of the parallel line.
The equation of the line that is parallel to segment BC and passes through (2,2) is y = 2x - 2. Therefore, option C is the correct answer.