What is the equation of the line that passes through the point (2, -3) and is perpendicular to the line 2x + 4y = 8?

✓ Correct Answer: Option C

First, find the slope of 2x + 4y = 8. 4y = -2x + 8, so y = (-1/2)x + 2. The slope is -1/2. The slope of a perpendicular line is the negative reciprocal, which is 2. Using point-slope form: y - (-3) = 2(x - 2) => y + 3 = 2x - 4 => y = 2x - 7.