Use the graph of the system of equations. Which describes the solution? (1 point) Responses One solution at (0,2). One solution at open paren 0 comma 2 close paren . There are no solutions. There are no solutions. There are infinitely many solutions. There are infinitely many solutions. One solution at (0,3). One solution at open paren 0 comma 3 close paren .

1 answer

To determine the correct response regarding the system of equations and its solution based on the graph, you would typically look for intersections of the lines representing the equations.

Here are the possible interpretations of each option:

  1. One solution at (0,2): This means the two lines intersect at the point (0, 2), indicating they are not parallel and not the same line.

  2. There are no solutions: This implies that the two lines are parallel and will never meet.

  3. There are infinitely many solutions: This indicates that the two lines are the same line, which means they coincide completely.

  4. One solution at (0,3): Similar to the first option, this means the lines intersect at (0, 3).

If you have a graph available, you would look for the intersection point(s) to determine which response is correct. If there is indeed an intersection point, you would assess the coordinates of that point to select the appropriate response. If the lines appear parallel or coincide, then you would choose either "there are no solutions" or "there are infinitely many solutions," respectively.

If you provide more details about the graph (i.e., the positions of lines), I can help you identify the correct response!