Final Answer:
The equation of a line parallel to x=4 passing through the coordinate (-2, 3) is following b) Algebra.
Step-by-step explanation:
To find the equation of a line parallel to (x=4) passing through the point (-2, 3), we use algebraic methods. The line parallel to (x=4) has a constant x-coordinate of 4. Since we want the line passing through the point (-2, 3), the equation of the line can be written as (x = -2). Therefore, the answer is obtained through algebraic reasoning, not geometry, trigonometry, or calculator operations.
In detail, the equation (x = -2) represents a vertical line passing through the point (-2, 3). All points on this line have an x-coordinate of -2, making it parallel to the given line (x=4). Algebraically, the equation of a line parallel to a vertical line is a vertical line with a constant x-coordinate. Therefore, the equation (x = -2) describes a line parallel to (x=4) that passes through the specified point (-2, 3).
In summary, the algebraic approach involves analyzing the properties of parallel lines and utilizing the given point to determine the specific equation. Algebra provides a powerful tool for understanding and solving geometric problems, as demonstrated in this case of finding the equation of a line parallel to (x=4) passing through a given point.