Math Problem Statement
What is the slope of the line that passes through the points left parenthesis, 7, comma, minus, 6, right parenthesis(7,−6) and left parenthesis, 6, comma, minus, 6, right parenthesis(6,−6)? Write your answer in simplest form.
Solution
To find the slope of the line that passes through the points and , we can again use the slope formula:
Where:
Substituting these values into the formula:
Since the numerator is 0:
So, the slope of the line is .
This result tells us that the line is horizontal.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the equation of a horizontal line?
- How does the slope of a vertical line differ from a horizontal line?
- What does a zero slope indicate about the relationship between the two points?
- How can you determine the slope of a line graphically?
- What happens to the slope if the points are on a vertical line?
Tip: A slope of 0 always indicates a horizontal line, where all points on the line have the same -coordinate.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Formulas
Slope formula
Theorems
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Suitable Grade Level
Grades 6-8
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