Math Problem Statement

write equations of the horizantal and vertical lines that pass through the point (2,-2)

Solution

The horizontal and vertical lines passing through the point (2, -2) can be written as follows:

  1. Equation of the horizontal line: A horizontal line has a constant y-coordinate. Since the y-coordinate of the point (2, -2) is -2, the equation of the horizontal line is: y=2y = -2

  2. Equation of the vertical line: A vertical line has a constant x-coordinate. Since the x-coordinate of the point (2, -2) is 2, the equation of the vertical line is: x=2x = 2

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the slope of a horizontal line?
  2. What is the slope of a vertical line?
  3. How do you find the equation of a line given two points?
  4. Can a line be both horizontal and vertical?
  5. How can you graph the equations x=2x = 2 and y=2y = -2 on the coordinate plane?

Tip: The slope of a horizontal line is always 0, while the slope of a vertical line is undefined.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Equations of Lines

Formulas

Equation of horizontal line: y = constant
Equation of vertical line: x = constant

Theorems

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Suitable Grade Level

Grades 6-8