Graph all equations on the coordinate grid and label them.
See?
Circle the 2 equations that form a system with infinite solutions. D put a square around the 2 equations that form a system with no solution E underline. The 2 equations that form a system with one solution.
Tell me the points that end up on the graph.
Without specific equations given, I cannot graph them on the coordinate grid or determine which ones have infinite solutions, no solution, or one solution. If you provide me with the equations, I can help you analyze and graph them.
The graph goes from the origins 0 to 10. Then you are to Circle the 2 equations that form a system with infinite solutions. Put a square around the 2 equations that form a system with no solutions. Underlying the 2 equations that form a system with a one solution.
Tell me where the points end up at.
I apologize for the misunderstanding. Since I do not have specific equations to work with, I will provide a general example to demonstrate how to determine the number of solutions and where they end up on the graph.
Let's consider the following equations:
1) y = 2x + 4
2) y = -2x + 6
To graph these equations on the coordinate grid from 0 to 10, we can plot their respective points and draw the lines representing the equations.
1) y = 2x + 4
- When x = 0, y = 4 (Point A: (0, 4))
- When x = 5, y = 14 (Point B: (5, 14))
- When x = 10, y = 24 (Point C: (10, 24))
Connect the points A, B, and C to draw the line for equation 1.
2) y = -2x + 6
- When x = 0, y = 6 (Point D: (0, 6))
- When x = 5, y = -4 (Point E: (5, -4))
- When x = 10, y = -14 (Point F: (10, -14))
Connect the points D, E, and F to draw the line for equation 2.
Now, we can analyze the number of solutions based on the relationship between the two lines on the graph:
- If the lines intersect at one point, the system has one solution. (Underline)
- If the lines are parallel and do not intersect at any point, the system has no solution. (Square)
- If the lines overlap or coincide, they have infinite solutions. (Circle)
By determining the points where the lines intersect on the graph using the given equations, you can allocate them to either one solution, no solution, or infinite solutions based on their relationships.