https://file.aiquickdraw.com/mathbot/file/1727279471436wj1niekn.jpg

The problem in the image is asking for the equation of a line in slope-intercept form, given a point and a slope.

### Problem:
You are given:
- A point: \( (1, -8) \)
- A slope: \( m = -6 \)

You need to write the equation of the line in slope-intercept form: 
\[
y = mx + b
\]
where:
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.

### Step-by-Step Solution:
1. **Start with the slope-intercept form equation:**
   \[
   y = mx + b
   \]

2. **Substitute the given slope, \( m = -6 \):**
   \[
   y = -6x + b
   \]

3. **Use the point \( (1, -8) \) to solve for \( b \):**
   - The point \( (x, y) = (1, -8) \) satisfies the equation, so substitute \( x = 1 \) and \( y = -8 \):
     \[
     -8 = -6(1) + b
     \]
     \[
     -8 = -6 + b
     \]

4. **Solve for \( b \):**
   \[
   b = -8 + 6
   \]
   \[
   b = -2
   \]

5. **Write the final equation:**
   \[
   y = -6x - 2
   \]

### Answer:
The equation of the line in slope-intercept form is:
\[
y = -6x - 2
\]

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Do you want further details or have any questions?

Here are 5 related questions:
1. How do you find the equation of a line given two points instead of a point and slope?
2. How can you rewrite this equation in standard form \(Ax + By = C\)?
3. What is the significance of the slope in the context of a graph?
4. How would you graph the equation \(y = -6x - 2\)?
5. What happens to the slope-intercept form if the slope \( m \) is 0?

**Tip:** Remember, the slope \( m \) represents how steep the line is; a negative slope means the line is slanting downwards as you move from left to right.

Write an equation of the line passing through the point (1, -8) and having the slope m = -6. Write the final answer in slope-intercept form.

Learn how to write the equation of a line passing through the point (1, -8) with slope -6. Step-by-step solution using the slope-intercept form y = mx + b. Suitable for students in Grades 8-10.

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