Based on the given question, there are no graphs or equations provided to observe. Therefore, it is not possible to notice any specific characteristics about the graphs.
When a system of equations has infinite solutions, it means that every point on the graph of one equation is also on the graph of the other equation. In other words, the two lines representing the equations are the same line. This indicates that the two equations are dependent and represent the same relationship between variables.
Graphically, this can be represented by two lines that coincide and completely overlap each other. This means that all points on one line are also on the other line, resulting in an infinite number of overlapping solutions.
To demonstrate that a system of equations has infinite solutions by plugging points, we would choose any set of coordinates on the graph of one equation and check if they satisfy the other equation as well. If they do, it confirms that these equations have more than one solution.
What do you notice about these graphs? What does it mean for a system to have
infinite solutions? What do the graphs of a system with infinite solutions look like?
Explain what it means graphically to have infinite solutions.
Reponses area
Plug a few points into the original equations and check to show that the system of
equations has more than one solution. Explain your work.
Reponses area
1 answer