Math Problem Statement
Determine the gradient of π΄π΅.
Solution
To determine the gradient (or slope) of the line , you can use the formula for the slope between two points and :
Given the points and :
- ,
- ,
Now, plug in the values:
So, the gradient of is .
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Here are 5 related questions:
- How do you find the length of a line segment between two points?
- What is the significance of the slope in a linear equation?
- How can you determine if two lines are parallel or perpendicular using their slopes?
- What is the equation of the line passing through points and ?
- How would you find the area of triangle using the given coordinates?
Tip: Remember that the slope of a line indicates the direction and steepness of the line. A positive slope means the line ascends from left to right, while a negative slope means it descends.
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Math Problem Analysis
Mathematical Concepts
Analytical Geometry
Linear Equations
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 7-9
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