In the xy-plane, if a line passes through the points (3, 5) and (k, 11) and has a slope of 2, what is the value of k?

✓ Correct Answer: Option B

The slope formula is m = (y2 - y1) / (x2 - x1). Substitute the given values: 2 = (11 - 5) / (k - 3). This simplifies to 2 = 6 / (k - 3). So, 2(k - 3) = 6, which means k - 3 = 3. Therefore, k = 6.