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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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.
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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