Y 5 4 3 2 1 3 4 5 1)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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### Line Graph Analysis

#### Diagram Description:
This is a Cartesian coordinate system graph where the x-axis ranges from 0 to 5, and the y-axis ranges from 0 to 5. The grid is divided into unit squares, forming a 5x5 square.

#### Graph Explanation:
The graph displays a single diagonal line decreasing from the point (0, 4) on the y-axis to point (3, 0) on the x-axis. The line has a negative slope, indicating a downward trend.

#### Equation of the Line:
To find the equation of a straight line, use the formula: \( y = mx + c \).

- **Slope (m):**
  The slope is calculated as the change in y divided by the change in x: 
  \[
  m = \frac{0 - 4}{3 - 0} = \frac{-4}{3}
  \]

- **Y-intercept (c):**
  The line crosses the y-axis at (0, 4).

Thus, the equation of the line is:
\[ y = -\frac{4}{3}x + 4 \]

### Conclusion:
In the diagram, the equation for this line is \( y = -\frac{4}{3}x + 4 \).
Transcribed Image Text:### Line Graph Analysis #### Diagram Description: This is a Cartesian coordinate system graph where the x-axis ranges from 0 to 5, and the y-axis ranges from 0 to 5. The grid is divided into unit squares, forming a 5x5 square. #### Graph Explanation: The graph displays a single diagonal line decreasing from the point (0, 4) on the y-axis to point (3, 0) on the x-axis. The line has a negative slope, indicating a downward trend. #### Equation of the Line: To find the equation of a straight line, use the formula: \( y = mx + c \). - **Slope (m):** The slope is calculated as the change in y divided by the change in x: \[ m = \frac{0 - 4}{3 - 0} = \frac{-4}{3} \] - **Y-intercept (c):** The line crosses the y-axis at (0, 4). Thus, the equation of the line is: \[ y = -\frac{4}{3}x + 4 \] ### Conclusion: In the diagram, the equation for this line is \( y = -\frac{4}{3}x + 4 \).
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