Math Problem Statement
Solution
The problem asks for the gradient (slope) of the straight line passing through the points and .
The formula to calculate the gradient between two points and is:
Substituting the given points:
So, the gradient of the line is .
Would you like more details or have any questions?
Here are some related questions for further practice:
- How would the gradient change if one of the points had different coordinates?
- Can you find the equation of the line passing through and ?
- What is the significance of the gradient in real-world problems?
- How do you calculate the gradient if the line is vertical or horizontal?
- What happens to the gradient if the x-coordinates are swapped?
Tip: The steeper the line, the greater the gradient's absolute value. If the line goes downwards, the gradient will be negative!
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slopes of Lines
Formulas
m = (y2 - y1) / (x2 - x1)
Theorems
Gradient formula
Suitable Grade Level
Grades 7-9
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