Which of the following is the correct graphical representation to this system of equations? y = 5 2x + 3. and.y= x +9 10 10 0 * ✓ 4 X 15 10 10 0 -5 10 10
Which of the following is the correct graphical representation to this system of equations? y = 5 2x + 3. and.y= x +9 10 10 0 * ✓ 4 X 15 10 10 0 -5 10 10
Chapter11: Conics
Section11.2: Parabolas
Problem 11.28TI: Graph x=y2 by using properties.
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![**Question:**
Which of the following is the correct graphical representation of this system of equations?
\[ y = \frac{5}{2}x + 3 \]
\[ y = x + 9 \]
**Description of Graphs:**
1. **Top Left Graph:**
- *Red Line:* Starts below the y-axis and rises with a gentle slope.
- *Blue Line:* Starts above the y-axis and is steeper, crossing the red line in the first quadrant.
2. **Top Right Graph:**
- *Red Line:* Starts on the y-axis and rises with a moderate slope.
- *Blue Line:* Rises steeply, crossing the red line in the first quadrant.
3. **Bottom Left Graph:**
- *Red Line:* Begins below the y-axis, with a gradual upward slope.
- *Blue Line:* Steeper, starting below and crossing the red line in the first quadrant.
4. **Bottom Right Graph:**
- *Red Line:* Starts well below the y-axis with a moderate slope.
- *Blue Line:* Steep rise, starting from the y-axis and crossing in the second quadrant.
**Instructions:**
Determine which graph correctly represents the intersection and slopes as described by the given equations. Consider the intercepts and angles of intersection in your analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c3f0c16-4bc2-4005-8b34-f5a8ba23d8d8%2F047682f6-3930-4211-8fef-4aa123b71fee%2Fmswe9k3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Which of the following is the correct graphical representation of this system of equations?
\[ y = \frac{5}{2}x + 3 \]
\[ y = x + 9 \]
**Description of Graphs:**
1. **Top Left Graph:**
- *Red Line:* Starts below the y-axis and rises with a gentle slope.
- *Blue Line:* Starts above the y-axis and is steeper, crossing the red line in the first quadrant.
2. **Top Right Graph:**
- *Red Line:* Starts on the y-axis and rises with a moderate slope.
- *Blue Line:* Rises steeply, crossing the red line in the first quadrant.
3. **Bottom Left Graph:**
- *Red Line:* Begins below the y-axis, with a gradual upward slope.
- *Blue Line:* Steeper, starting below and crossing the red line in the first quadrant.
4. **Bottom Right Graph:**
- *Red Line:* Starts well below the y-axis with a moderate slope.
- *Blue Line:* Steep rise, starting from the y-axis and crossing in the second quadrant.
**Instructions:**
Determine which graph correctly represents the intersection and slopes as described by the given equations. Consider the intercepts and angles of intersection in your analysis.
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