Final answer:
The equation x y+4=0 is a linear equation in two variables, x and y. The graph of this equation will be a straight line.
Step-by-step explanation:
The equation x y+4=0 is a linear equation in two variables, x and y. To determine whether the graph of this equation is a parabola, an ellipse, or a hyperbola, we need to analyze the equation and determine its form. However, since this equation is a linear equation (power of variables is 1), it does not represent a parabola, ellipse, or hyperbola. Instead, the graph of this equation will be a straight line.
Example:
If we solve the equation for y, we get y=-4x. This represents a linear equation with a slope of -4 and a y-intercept of 0. The graph of this equation will be a straight line that passes through the origin and has a slope of -4.