A line passes through the points (3, 7) and (5, k). If the slope of the line is -2, what is the value of k?

✓ Correct Answer: Option A

The slope formula is m = (y2 - y1) / (x2 - x1). Given m = -2, (x1, y1) = (3, 7), and (x2, y2) = (5, k), we have -2 = (k - 7) / (5 - 3). This simplifies to -2 = (k - 7) / 2. Multiplying both sides by 2 gives -4 = k - 7. Therefore, k = 3.