Math Problem Statement
Solution
To find the gradient (or slope) of the line shown in the graph, we need to use the formula:
Looking at the graph, we can choose two points on the line and find the difference in their and values.
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The line appears to pass through the points (0, 0) and (10, 50).
- At (0, 0), and .
- At (10, 50), and .
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Now, calculate the change in and :
- Change in =
- Change in =
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Substitute these values into the gradient formula:
So, the gradient of the line is 5.0 to one decimal place.
Would you like more details or have any questions?
Here are some related questions you might find helpful:
- What does a gradient represent on a graph?
- How can we find gradients of lines that are not passing through the origin?
- How is the gradient affected if the line slopes downward?
- What are the units of the gradient in real-life applications?
- How does changing the scale of a graph affect the visual appearance of the gradient?
Tip: When calculating gradients, always ensure the points chosen are accurately read from the graph to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Formulas
Gradient formula: (Change in y) / (Change in x)
Theorems
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Suitable Grade Level
Grades 7-9
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