https://file.aiquickdraw.com/mathbot/file/17297866506963qgxh772.jpg

To write the equation of the line in slope-intercept form, we follow these steps:

1. **Identify the given points**:  
   The points provided are \( (1, -9) \) and \( (-3, -9) \).

2. **Calculate the slope (m)**:  
   The slope formula is:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Plugging in the points \( (1, -9) \) and \( (-3, -9) \):
   \[
   m = \frac{-9 - (-9)}{-3 - 1} = \frac{0}{-4} = 0
   \]
   So, the slope \( m = 0 \).

3. **Use the slope-intercept form**:  
   The slope-intercept form of a line is:
   \[
   y = mx + b
   \]
   Since the slope is 0, the equation becomes:
   \[
   y = 0x + b = b
   \]
   We know from the points that \( y = -9 \) for both, so:
   \[
   b = -9
   \]

4. **Final equation**:  
   The equation of the line is:
   \[
   y = -9
   \]
   This is a horizontal line passing through \( y = -9 \).

Would you like further details or have any questions?

Here are 5 related questions to extend this topic:
1. How do you calculate the slope when the points are not horizontal?
2. What is the equation of a vertical line through two points?
3. How would the slope change if one of the points had a different y-coordinate?
4. How do you convert from standard form to slope-intercept form?
5. How can you graph a line given its slope and y-intercept?

**Tip**: A horizontal line always has a slope of 0, and its equation is always of the form \( y = c \), where \( c \) is a constant.

Write an equation in slope-intercept form of the line that passes through (1, -9) and (-3, -9).

Learn how to find the equation of a line passing through the points (1, -9) and (-3, -9). This problem involves calculating the slope and writing the equation in slope-intercept form, focusing on horizontal lines. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation