Math Problem Statement
solve
Which line has a zero gradient?
Solution
To solve this problem, we need to determine which line in the graph has a zero gradient.
- A line with a zero gradient is horizontal because the slope (or gradient) is the change in over the change in , and for a horizontal line, the -coordinate stays constant while the -coordinate changes.
Looking at the provided graph:
- Line C (the blue line) is horizontal, running along the -axis. Since it has no change in the -coordinate as changes, it has a zero gradient.
Final Answer:
- The line with a zero gradient is Line C.
Would you like further details on gradients or have any questions?
Here are 5 related questions to explore this concept further:
- What does it mean when a line has a positive gradient?
- How can you calculate the gradient of a line given two points?
- Which line in the graph has a negative gradient?
- What is the gradient of a vertical line, and how is it different from a horizontal line?
- How does the steepness of a line relate to its gradient value?
Tip: The gradient of a line is the measure of its steepness; horizontal lines have a gradient of zero, while vertical lines have an undefined gradient.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Gradients
Formulas
Gradient of a line: (change in y) / (change in x)
Theorems
Gradient of horizontal lines is 0
Gradient of vertical lines is undefined
Suitable Grade Level
Grades 6-8