Math Problem Statement
Solution
The problem asks to write an equation in standard form for the line passing through the points and .
Step 1: Check if it's a vertical line
Notice that both points have the same -coordinate, . This means the line is vertical. For a vertical line, the equation is simply , where the constant is the common -coordinate.
Step 2: Write the equation
Since both points have , the equation of the line is:
Standard Form
In general, the standard form of a line is . For a vertical line like this, the equation can be written as:
or simply:
This is the equation of the line in standard form.
Would you like further clarification or have additional questions?
Here are some related questions:
- How would you write the equation of a horizontal line passing through two points?
- What is the slope of a vertical line?
- How does the equation of a line change if it is not vertical or horizontal?
- Can you convert this vertical line equation into slope-intercept form?
- How do you find the slope of a line between two non-vertical points?
Tip: For any vertical line, the slope is undefined, and the equation is always of the form .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Equation of a vertical line: x = constant
Theorems
Concept of a vertical line (where all x-coordinates are the same)
Suitable Grade Level
Grades 8-10