Math Problem Statement
Find the slope between the points( ) 3, 7 and( ) 8, 3− .
Solution
To find the slope between two points, we use the formula:
Where:
- are the coordinates of the first point.
- are the coordinates of the second point.
In this case, the points are and . So:
Now substitute into the formula:
The slope between the two points is .
Would you like further clarification or more details on how the slope formula works?
Related questions:
- How do you interpret the slope in terms of the line's steepness?
- What happens if the two points have the same x-coordinate?
- How do you find the equation of a line given the slope and a point?
- How do you calculate the slope between vertical or horizontal lines?
- How can the slope formula be applied to determine if two lines are parallel?
Tip: Remember, the slope of a line represents its steepness and direction: a positive slope rises to the right, while a negative slope falls to the right.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope of a Line
Formulas
slope = (y2 - y1) / (x2 - x1)
Theorems
Slope formula
Suitable Grade Level
Grades 6-8