Question

sort the cards so that the graphs, equations and descriptions match each type of solution.

Explanation:

Step1: Group 1: One Solution

1. System Type: Linear Systems With One Solution
2. Graph Name: Graphed Lines are: Intersecting Lines
3. Graph Visual: The yellow card with two crossing lines
4. Graph Properties: Graphed Lines have: One Point In Common
5. Equation Properties: Graphed Lines have: Different slopes, Different y-intercepts

Step2: Group 2: No Solution

1. System Type: Linear Systems With No Solution
2. Graph Name: Graphed Lines are: Parallel Lines
3. Graph Visual: The green card with two parallel, non-crossing lines
4. Graph Properties: Graphed Lines have: No Points In Common
5. Equation Properties: Graphed Lines have: Same slope, Different y-intercepts

Step3: Group 3: Infinite Solutions

1. System Type: Linear Systems With Infinite Many Solutions
2. Graph Name: Graphed Lines are: Coinciding Lines
3. Graph Visual: The blue card with one overlapping line
4. Graph Properties: Graphed Lines have: All Points In Common
5. Equation Properties: Graphed Lines have: Same slope, Same y-intercepts

Answer:

Linear Systems With One Solution

• Graphed Lines are: Intersecting Lines
• [Yellow card with two crossing lines]
• Graphed Lines have: One Point In Common
• Graphed Lines have: Different slopes, Different y-intercepts

Linear Systems With No Solution

• Graphed Lines are: Parallel Lines
• [Green card with two parallel lines]
• Graphed Lines have: No Points In Common
• Graphed Lines have: Same slope, Different y-intercepts

Linear Systems With Infinite Many Solutions

• Graphed Lines are: Coinciding Lines
• [Blue card with one overlapping line]
• Graphed Lines have: All Points In Common
• Graphed Lines have: Same slope, Same y-intercepts