Math Problem Statement

Find the slope of the line.

Solution

To find the slope of the line from the graph, we can apply the formula for the slope between two points:

m=y2y1x2x1m = \frac{{y_2 - y_1}}{{x_2 - x_1}}

Identifying points:

From the graph:

  • One point on the line is at (6,6)(-6, 6)
  • Another point is at (6,6)(6, -6)

Calculation:

m=666(6)=1212=1m = \frac{{-6 - 6}}{{6 - (-6)}} = \frac{{-12}}{{12}} = -1

So, the slope of the line is:

m=1m = -1

Would you like further details or have any questions?


Here are 5 related questions to consider:

  1. What does a negative slope indicate about the direction of a line?
  2. How would the slope change if the line were steeper?
  3. Can you find the equation of this line using the slope?
  4. How does the slope affect the angle of the line relative to the x-axis?
  5. What is the slope of a horizontal or vertical line?

Tip: The greater the magnitude of the slope, the steeper the line will appear on the graph.

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Math Problem Analysis

Mathematical Concepts

Algebra
Slope of a Line
Linear Equations

Formulas

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

Theorems

Slope of a line

Suitable Grade Level

Grades 6-8