Math Problem Statement

What type of slope does this graph have? Positive Undefined Zero Negative

What type of slope does this graph have? Positive, Undefined, Zero, Negative

Solution

The graph displays a straight line sloping downward as it moves from left to right. This indicates that the slope is negative. The correct answer is:

Negative

Would you like an explanation of how to determine slopes visually?

Here are 5 questions for further exploration:

  1. How can you calculate the exact slope of this line using two points?
  2. What is the significance of negative slopes in real-world contexts?
  3. How does the steepness of a line relate to the numerical value of its slope?
  4. What happens to the slope of a line if the graph is rotated?
  5. Can you identify any real-life situations that represent a negative slope?

Tip: Remember, the slope of a line is calculated as the ratio of the vertical change (Δy\Delta y) to the horizontal change (Δx\Delta x), often called "rise over run."

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Math Problem Analysis

Mathematical Concepts

Slope
Linear Graphs

Formulas

Slope = Δy / Δx (rise over run)

Theorems

Slope determination through visual inspection

Suitable Grade Level

Grades 6-8