Final answer:
To sketch the graph of the equation y = -4x+4, plot points on the line by choosing specific values for x and calculating the corresponding y values, then connect them to form the graph of the line.
Step-by-step explanation:
To sketch the graph of the equation, we need to rearrange it to the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given equation is x y+4 = 0. We can rewrite it as y = -4x.
The equation y = -4x represents a line that passes through the origin (0,0) with a slope of -4. To sketch the graph, we can plot points on the line by choosing specific values for x and calculating the corresponding y values. For example, when x = 1, y = -4*1 = -4, giving us the point (1,-4). We can repeat this process to plot more points and then connect them to form the graph of the line.