Math Problem Statement
What is the slope of the line that passes through the points left parenthesis, 2, comma, minus, 3, right parenthesis(2,−3) and left parenthesis, 1, comma, minus, 2, right parenthesis(1,−2)? 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:
Here, and . Substituting the values into the formula:
Simplify the numerator and denominator:
So, the slope of the line is .
Would you like more details or have any questions? Here are some related questions you might find interesting:
- How do you find the equation of the line passing through the same points?
- What is the midpoint of the line segment between these two points?
- How would the slope change if one of the points was moved?
- Can you calculate the distance between these two points?
- What is the slope of a line parallel to this one?
Tip: The slope of a line is a measure of its steepness. A negative slope means the line goes downwards as it moves from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Concept of Slope
Suitable Grade Level
Grades 8-10
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