Math Problem Statement

a horizontal line passing through the point (8,-30

Solution

The equation of a horizontal line passing through a specific point (x1,y1)(x_1, y_1) can be written as:

y=y1y = y_1

Given the point (8,30)(8, -30), the equation of the horizontal line passing through this point is:

y=30y = -30

This equation indicates that the line is horizontal and crosses the y-axis at 30-30.

Would you like more details or have any questions about this?

Here are 5 related questions:

  1. What is the equation of a vertical line passing through the point (8,30)(8, -30)?
  2. How would the equation change if the line was vertical?
  3. What is the slope of the horizontal line y=30y = -30?
  4. How does the equation of a horizontal line differ from that of a diagonal line?
  5. Can you describe how to find the distance between two points on a horizontal line?

Tip: Horizontal lines have a slope of 0, and their equations are always in the form y=cy = c, where cc is a constant.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Equations of Lines

Formulas

Equation of a horizontal line: y = c

Theorems

Concept of Horizontal Lines in Coordinate Geometry

Suitable Grade Level

Grades 6-8