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?
✓ 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.