Math Problem Statement
Work out the gradient of the line on the graph below. Give any decimal answers to 1 d.p.
Solution
To calculate the gradient of the line in the graph, we follow these steps:
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Recall the formula for gradient: where and are two points on the line.
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Pick two clear points from the graph:
- From the graph, the line passes through and .
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Substitute into the gradient formula:
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Final Answer: The gradient of the line is .
Let me know if you'd like me to elaborate further! 😊
Related Questions:
- What does a positive gradient indicate about a line's direction?
- How do you calculate the gradient for a horizontal line?
- How would the gradient change if the points were closer together but still on the same line?
- Can a gradient be a negative number? What does that represent?
- How does the gradient relate to the equation of the line?
Tip:
When identifying points on a graph to calculate the gradient, choose points where the line clearly crosses grid intersections to avoid inaccuracies.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Functions
Gradients
Formulas
Gradient formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 6-8