
Through 

left parenthesis negative eight ninths comma negative eight sevenths right parenthesis−89,−87​; 

slope 0

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Part 1

The equation of the line is 

enter your response here.

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Given that the slope of the line is 0, this indicates that the line is horizontal. For any horizontal line, the equation of the line is in the form:

\[
y = c
\]

where \(c\) is the y-coordinate of any point on the line.

Given the point \((- \frac{8}{9}, - \frac{8}{7})\), the y-coordinate is \(- \frac{8}{7}\). Therefore, the equation of the line is:

\[
y = - \frac{8}{7}
\]

This is the simplified equation of the line.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you find the slope of a line given two points?
2. What is the general form of a linear equation?
3. How do you identify if a line is vertical or horizontal?
4. What does a slope of zero mean geometrically?
5. How can you determine the equation of a line parallel to a given line?

**Tip:** Remember that the equation of a horizontal line is always \(y = \text{constant}\), where the constant is the y-coordinate of any point on the line.

Through (-8/9, -8/7); slope 0. The equation of the line is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Explore how to determine the equation of a horizontal line passing through the point (-8/9, -8/7) with a slope of 0. This problem focuses on algebraic concepts and is suitable for students in Grades 8-10.

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