Math Problem Statement

Draw a line representing the 'rise' and a line representing the 'run' of the line. State the slope of the line in simplest form.

Solution

To calculate the slope of the given line, we need to use the formula:

slope (m)=riserun\text{slope (m)} = \frac{\text{rise}}{\text{run}}

From the graph:

  1. The line passes through two points: approximately (8,8)(-8, 8) and (8,8)(8, -8).
  2. The rise is the change in the yy-coordinates: 88=16-8 - 8 = -16.
  3. The run is the change in the xx-coordinates: 8(8)=168 - (-8) = 16.

Now, substitute these values into the slope formula:

m=1616=1m = \frac{-16}{16} = -1

The slope of the line is -1, as given in the answer box.


Would you like me to explain further or check other aspects of the problem?

Related Questions:

  1. What is the general formula for calculating the slope between two points?
  2. Can a vertical line have a slope? Why or why not?
  3. How does a negative slope affect the direction of a line?
  4. What are the key differences between slope-intercept and point-slope forms of linear equations?
  5. How can the slope be applied to real-world problems, such as rates of change?

Tip:

Always double-check the rise and run calculations by identifying exact coordinates to ensure accuracy!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope formula: (rise/run)

Theorems

Concept of Slope

Suitable Grade Level

Grades 8-10