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 yy over the change in xx, and for a horizontal line, the yy-coordinate stays constant while the xx-coordinate changes.

Looking at the provided graph:

  • Line C (the blue line) is horizontal, running along the xx-axis. Since it has no change in the yy-coordinate as xx 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:

  1. What does it mean when a line has a positive gradient?
  2. How can you calculate the gradient of a line given two points?
  3. Which line in the graph has a negative gradient?
  4. What is the gradient of a vertical line, and how is it different from a horizontal line?
  5. 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