Final answer:
To solve the equation graphically, plot y=4x and y=2x-1 on a graph, and find the x-coordinate of their intersection point, which represents the solution.
Step-by-step explanation:
To solve the equation 4x = 2x - 1 graphically, we can follow option a): By plotting the lines and finding their intersection point. This involves setting up two separate equations, y = 4x and y = 2x - 1, and plotting them on a graph to find where they intersect. The x-coordinate of their intersection point will be the solution to the original equation.
Option b), using the quadratic formula, is not suitable here since this is not a quadratic equation. Similarly, option d), the Pythagorean theorem, is irrelevant as it pertains to right triangles. While option c), simplifying the equation and solving for x, is a valid algebraic approach, we are specifically tasked with solving the equation graphically. Hence, option a) is the correct method.