🧠 GRE Exam Prep

A line L passes through the point (3, 4) and is parallel to the line given by the equation 2x + 3y = 6. What is the y-intercept of line L?

A -2/3
B 2
C 6
D 17/3

✓ Correct Answer: Option C

The line 2x + 3y = 6 has a slope of -2/3. Since line L is parallel, its slope is also -2/3. Using the point-slope form y - 4 = (-2/3)(x - 3), we simplify to y = (-2/3)x + 2 + 4, which is y = (-2/3)x + 6. The y-intercept is 6.

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