Math Problem Statement
Parallel to y=-6 through the point (-2,-5)
Solution
To find the equation of a line parallel to that passes through the point , we can analyze the form of the given line and apply parallel line properties.
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The line is a horizontal line, where every point on the line has -coordinate . This means the slope of the line is zero (since it does not change in the -direction).
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A line parallel to will also be horizontal, maintaining a slope of zero.
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Since the line must pass through the point , its -coordinate must be .
Thus, the equation of the line parallel to through the point is:
This line is horizontal, passing through all points where .
Would you like more details on horizontal and vertical lines, or do you have any questions?
Here are some related questions for further exploration:
- How do you find the equation of a line perpendicular to ?
- What is the equation of a line parallel to through a given point?
- How do you find the slope of a line given two points on the line?
- What is the distance between the lines and ?
- How can we find the intersection of a horizontal and a vertical line?
Tip: For any horizontal line, the equation will always be , where the constant is the -coordinate of any point on the line.
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Equations of Parallel and Horizontal Lines
Formulas
Equation of a horizontal line: y = constant
Theorems
Properties of Parallel Lines
Suitable Grade Level
Grades 8-10
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