https://file.aiquickdraw.com/mathbot/file/1727278150692oxbsxrci.jpg

The problem asks to write the equation of a horizontal line that passes through the point \((-5, 2)\).

### Solution:
A **horizontal line** has a constant \(y\)-value, meaning that no matter what the \(x\)-value is, the \(y\)-value remains the same. The equation for such a line is of the form:

\[
y = c
\]

Where \(c\) is the constant \(y\)-value of the line. In this case, the line passes through the point \((-5, 2)\), so the \(y\)-value is \(2\). Therefore, the equation of the horizontal line is:

\[
y = 2
\]

Would you like further clarification or details on this? 

Here are 5 related questions you might find helpful:
1. What is the equation of a vertical line passing through \((-5, 2)\)?
2. How can you graph a horizontal line on the coordinate plane?
3. What is the slope of a horizontal line?
4. How does the equation of a line change if it's not horizontal or vertical?
5. How would the equation change if the line passed through a different point, say \((3, -4)\)?

**Tip**: The slope of a horizontal line is always \(0\) because there is no change in the \(y\)-value regardless of how much \(x\) changes.

Write the equation of a horizontal line that passes through the point (-5, 2).

Learn how to write the equation of a horizontal line that passes through the point (-5, 2). This problem involves understanding the concept of horizontal lines in coordinate geometry and determining the equation based on a given point.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation