Math Problem Statement
What is the slope of the line that passes through the points (-10, -8) and (-9, -8)? Write your answer in simplest form.
Solution
To find the slope of the line that passes through the points and , you can use the slope formula:
For the given points:
Plugging in the values:
Simplify each part:
- In the numerator:
- In the denominator:
This gives:
So, the slope of the line is , which means the line is horizontal.
Would you like further details, or do you have any questions?
Here are five related questions you might explore:
- What is the slope of a vertical line?
- How do you determine if two points form a horizontal or vertical line?
- How can you use the slope to determine if two lines are parallel?
- What is the equation of a line with a slope of zero passing through a specific point?
- How do you find the slope when given the equation of a line in standard form?
Tip: When the slope calculation results in a zero in the numerator, the line is horizontal, and when the denominator is zero, the slope is undefined (vertical line).
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Concept of Horizontal and Vertical Lines
Suitable Grade Level
Grade 7-9