Math Problem Statement

Which word describes the slope of the line in the given graph?

Solution

The graph shows a linear function that has a line with a positive slope. The line moves upwards from left to right, which indicates that its slope is positive.

Therefore, the correct answer is "positive."

Would you like more details or have any other questions?

Here are five related questions to expand your understanding:

  1. How can you calculate the exact slope of a line given two points on it?
  2. What does it mean if the slope of a line is negative?
  3. Can a vertical line have a defined slope? Why or why not?
  4. What is the significance of the slope-intercept form of a linear equation?
  5. How does the slope affect the steepness of a line?

Tip: In linear functions, the sign of the slope determines whether the line rises or falls as you move along the x-axis from left to right.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope
Graphs

Formulas

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

Theorems

Slope Theorem
Linear Equation y = mx + b

Suitable Grade Level

Grades 6-8