Math Problem Statement

How to find the slope of a line from its graph?

Solution

The question in the image asks:

"How to find the slope of a line from its graph?"

The options are:

  • a) rise / run
  • b) run / rise
  • c) None of the above

Correct Answer:

The correct way to find the slope of a line from its graph is to divide the "rise" (the vertical change) by the "run" (the horizontal change). This gives the slope as:

slope=riserun\text{slope} = \frac{\text{rise}}{\text{run}}

Thus, the correct answer is a) rise / run.

Would you like any further details or have questions on how to apply this concept?

Related Questions:

  1. What does a positive slope indicate about the direction of a line?
  2. How do you find the slope if the graph has two specific points?
  3. What does a slope of zero represent in the context of a line's graph?
  4. How do you interpret the slope when it is a negative value?
  5. What is the relationship between slope and the angle of a line in a graph?

Tip: Always remember that a larger "rise" compared to "run" indicates a steeper line, while a smaller "rise" leads to a flatter line.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope formula: slope = rise / run

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 7-9