🧠 GRE Exam Prep

A line passes through the points (3, 5) and (k, 9). If the slope of the line is 2, what is the value of k?

A 4
B 5
C 6
D 7

✓ Correct Answer: Option B

The slope formula is m = (y2 - y1) / (x2 - x1). Given m = 2, (x1, y1) = (3, 5), and (x2, y2) = (k, 9). So, 2 = (9 - 5) / (k - 3) = 4 / (k - 3). This means 2(k - 3) = 4, so k - 3 = 2, and k = 5.

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