Refer to the graph below.
Work Step by Step
Solve for $y$ by subtracting $2x$ to both sides: $2x+y-2x=1-2x \\y=1-2x \\y=-2x+1$ This means the given equation has the same graph as $y=-2x+1$ This equation has: slope = $-2$ y-intercept: $(0, 1)$ To graph the given equation, perform the following steps: (1) Plot the y-intercept $(0, 1)$ (2) Use the slope to plot another point. From $(0, 1)$, move 2 units down (the rise) and 1 unit to the right (the run) to reach $(1, -1)$. Plot $(1, -1)$. (3) Connect the two points using a line to complete the graph. (Refer to the attached image in the answer part above for the graph.)