Math Problem Statement

Write an equation of the line. Vertical; through (-4, -1).

Solution

The problem is asking for the equation of a vertical line passing through the point (-4, -1).

For vertical lines, the equation is always of the form:

x=ax = a

where aa is the x-coordinate of every point on the line. Since the line passes through the point (-4, -1), the equation is:

x=4x = -4

This is the standard form of the equation for a vertical line passing through the given point. Let me know if you'd like any further explanation or have questions!

Related Questions:

  1. What is the equation of a horizontal line passing through (-4, -1)?
  2. How do you find the equation of a line through two given points?
  3. What is the slope of a vertical line?
  4. How does the equation of a vertical line differ from that of a horizontal line?
  5. How can you graph a vertical line given its equation?

Tip: For any vertical line, the slope is undefined because it would involve dividing by zero in the slope formula (m=ΔyΔxm = \frac{\Delta y}{\Delta x}).

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

x = a for vertical lines

Theorems

None. Vertical lines do not have slopes.

Suitable Grade Level

Grades 7-9