Final answer:
To sketch the region bounded by the graphs of the equations y = x and 2y = x, we need to find the points of intersection between the two equations. The region bounded by the graphs is a triangle with vertices at (0,0), (0,0), and (1,2).
Step-by-step explanation:
To sketch the region bounded by the graphs of the equations y = x and 2y = x, we need to find the points of intersection between the two equations. Solving the second equation for y, we get y = (1/2)x. Setting this equal to y in the first equation, we have x = (1/2)x. Solving for x, we get x = 0. Substituting this back into the first equation, we find that the y-coordinate is also 0. Therefore, the region bounded by the graphs of the equations is a triangle with vertices at (0,0), (0,0), and (1,2).