Math Problem Statement
What is the gradient of a line that passes through the points (3, 1) and (8, 36)?
Solution
To calculate the gradient of a straight line passing through two points, you can use the formula:
In this case, the two points given are and .
Substitute these values into the formula:
Thus, the gradient of the line is 7.
Would you like more details on this, or do you have any further questions?
Here are some related questions for further practice:
- What is the gradient of a line passing through the points and ?
- How do you calculate the y-intercept of a line if the gradient is known?
- Can a gradient be negative? What does a negative gradient indicate about the line?
- What is the equation of the line that passes through and ?
- How would the gradient change if the two points were closer together?
Tip: The gradient tells you how steep a line is. A larger gradient means the line is steeper!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Formulas
Gradient formula: m = (y2 - y1) / (x2 - x1)
Theorems
Linear equation gradient
Suitable Grade Level
Grades 7-10