= riv11@morgar x FSA FAFSAⓇ Application | Feder x Log In | Federal Student Aid X www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkasNW8D8A9PWROTV9e4L4jq9c-vwin2qVwkjkNo-PgOw95sEYnDOQjSvnR4wFlexWgdR LINES AND FUNCTIONS Writing the equation of a line through two given points WebSIS Landing | Morgan x Find an equation for the line below. McGraw Hill Campus

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Writing the Equation of a Line Through Two Given Points**

**Topic:** Lines and Functions  
**Objective:** Find the equation for the line below.

**Graph Explanation:**

The graph displays a line passing through two specific points on a coordinate plane. The line appears to have a downward slope moving from left to right, indicating a negative slope value. Key characteristics include:

- The x-axis and y-axis both range approximately from -10 to 10.
- The line crosses the y-axis at around y = 2 (the y-intercept).
- The slope of the line can be calculated by determining the change in y-values divided by the change in x-values between two distinct points on the line.

**Features:**

- **Buttons:** 
  - "Explanation": Provides a detailed explanation of how to calculate the equation of the line using the given points.
  - "Check": Allows the user to verify their answer.

The task is to use the visual information and potentially the slope-intercept form (y = mx + b) or point-slope form to find the equation of the line.

**Footer:** © 2022 McGraw Hill
Transcribed Image Text:**Writing the Equation of a Line Through Two Given Points** **Topic:** Lines and Functions **Objective:** Find the equation for the line below. **Graph Explanation:** The graph displays a line passing through two specific points on a coordinate plane. The line appears to have a downward slope moving from left to right, indicating a negative slope value. Key characteristics include: - The x-axis and y-axis both range approximately from -10 to 10. - The line crosses the y-axis at around y = 2 (the y-intercept). - The slope of the line can be calculated by determining the change in y-values divided by the change in x-values between two distinct points on the line. **Features:** - **Buttons:** - "Explanation": Provides a detailed explanation of how to calculate the equation of the line using the given points. - "Check": Allows the user to verify their answer. The task is to use the visual information and potentially the slope-intercept form (y = mx + b) or point-slope form to find the equation of the line. **Footer:** © 2022 McGraw Hill
Expert Solution
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Given line passes through two points (-2,2) and (-4,6).

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