determine the equation of a horrionatl line that passes through (4,7)

A horizontal line has a constant \(y\)-value, which means its equation is of the form:

\[
y = c
\]

where \(c\) is the \(y\)-coordinate of every point on the line. Since the line passes through the point \((4, 7)\), the \(y\)-value for all points on this line is \(7\).

Thus, the equation of the horizontal line that passes through \((4, 7)\) is:

\[
y = 7
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the equation of a vertical line passing through the point \((4, 7)\)?
2. What is the slope of a horizontal line?
3. If another point \((5, 7)\) is on this line, does it satisfy the equation \(y = 7\)?
4. How would the equation change if the line passed through \((4, -3)\)?
5. What is the distance between the points \((4, 7)\) and \((10, 7)\) on this line?

**Tip:** Horizontal lines always have a slope of 0 because there is no vertical change between any two points on the line.

Learn how to determine the equation of a horizontal line passing through the point (4, 7). Understand the concept of horizontal lines in geometry and how their equations are structured. Suitable 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