Math Problem Statement

WHAT'S THE ANSWER?

What does a linear equation with a slope of zero look like on a plane?

Solution

The correct answer is:

B. Horizontal line

Explanation:

  • A slope of zero indicates that the line does not rise or fall as it moves along the plane. Therefore, it must be horizontal.
  • Horizontal lines are represented by equations of the form y=cy = c, where cc is a constant.

Would you like further explanation or examples?


Relative questions to expand:

  1. What is the equation of a line with an undefined slope?
  2. How do you differentiate between vertical and horizontal lines geometrically?
  3. Can a horizontal line pass through the origin? Why or why not?
  4. How does slope relate to the angle of a line in a plane?
  5. How would a slope of 1 or -1 appear on a graph?

Tip: Remember that slope is calculated as the "rise over run," so a slope of zero means no vertical change at all!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope
Graphing

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)

Theorems

Properties of lines with zero slope

Suitable Grade Level

Grades 6-8