Math Problem Statement

Tell whether the slope of the line is positive, negative, zero, or undefined.

Solution

The graph you provided shows a line with a negative slope. As we read the graph from left to right, the line slopes downward, indicating a negative value for the slope.

Thus, the slope of the line is negative.

Would you like more details or further explanations?

Here are some related questions that may help you dive deeper into the topic:

  1. How do you calculate the slope of a line from two points on the graph?
  2. What is the significance of a positive, negative, zero, or undefined slope?
  3. Can a vertical line have a slope? If so, what is its value?
  4. How do you find the slope-intercept form of a line given its slope and a point on the line?
  5. What is the slope of a horizontal line?

Tip: A quick way to determine the slope visually is to check how the line rises or falls as you move from left to right. If it rises, the slope is positive; if it falls, the slope is negative.

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Math Problem Analysis

Mathematical Concepts

Slope of a line
Graph interpretation

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)

Theorems

Basic slope interpretation rules

Suitable Grade Level

Grades 6-8