Final answer:
To sketch the graph of the given equation, rearrange it to isolate y and plot points that satisfy the equation to get a curve.
Step-by-step explanation:
To sketch the graph of the equation x² + 2xy + y² + x - y = 0, you can start by rearranging the equation to isolate y. The equation becomes:
y² + (2x - 1)y + (x² + x) = 0
This is a quadratic equation in terms of y. To sketch the graph, you can plot points that satisfy the equation by substituting different values of x and calculating the corresponding values of y. You can then connect these points to get a curve that represents the graph of the equation.