Math Problem Statement
What is the gradient of the line segment connecting the points (1,6) and (-3,2)?
Solution
To find the gradient (slope) of the line segment connecting two points, we use the formula:
Where:
- is the first point
- is the second point
Step 1: Subtract the -coordinates
Step 2: Subtract the -coordinates
Step 3: Divide the differences to find the gradient
Final Answer:
The gradient of the line segment connecting the points and is 1.
Would you like more details or further explanation?
Here are 5 related questions for practice:
- What is the gradient of the line connecting and ?
- How do you interpret a gradient of 0?
- What is the gradient of a vertical line?
- Can you find the gradient between the points and ?
- How do you find the equation of a line given two points?
Tip: The gradient tells you how much the -coordinate changes for each unit change in the -coordinate!
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Math Problem Analysis
Mathematical Concepts
Algebra
Analytic Geometry
Slopes of Lines
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 6-8