Geometry

Question Analysis
This question tests the understanding of the slope of perpendicular lines and the application of the point-slope form to find the equation of a line. The student must identify the slope of the given line, determine the slope of the perpendicular line, and then use the point-slope form to find the equation of the new line.

Key Concept Explanation
The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. If the original line has a slope of , the perpendicular line will have a slope of .

Step-by-step Solution
1. Identify the slope of the given line: The given line is y = 4x - 2. The slope m is 4.
2. Determine the slope of the perpendicular line: The slope of the perpendicular line is the negative reciprocal of 4, which is .
3. Use the point-slope form to find the equation of the new line: The point-slope form is . Using the point (1, 3) and the slope , we get