1. The problem asks to draw the graph of the relation $A, R = \{(x,y) : y = 2x\}$. 2. This is a linear equation representing a straight line with slope 2 passing through the origin. 3. The formula for a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 4. Here, $m = 2$ and $b = 0$, so the line passes through $(0,0)$ and rises 2 units for every 1 unit it moves right. 5. To plot, pick points: for $x=0$, $y=0$; for $x=1$, $y=2$; for $x=-1$, $y=-2$. 6. Connect these points to form the line $y=2x$. 7. This line divides the plane into two halves: above the line $y > 2x$ and below the line $y < 2x$. Final answer: The graph is the straight line $y=2x$ passing through the origin with slope 2.