Math Problem Statement

answer

Enter the slope of the line as a reduced fraction. If the slope is undefined, write undefined.

Solution

To find the slope of the line from the graph, we use the formula for the slope of a line between two points, which is:

slope=change in ychange in x=y2y1x2x1\text{slope} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}

By inspecting the graph, we can choose two points that the red line passes through clearly. Two points that stand out are (10,10)(-10, -10) and (10,10)(10, 10).

Now, applying these points to the slope formula:

slope=10(10)10(10)=2020=1\text{slope} = \frac{10 - (-10)}{10 - (-10)} = \frac{20}{20} = 1

So, the slope of the line is 1\boxed{1}.

Would you like more details on how the slope is calculated?

Here are 5 related questions you might find interesting:

  1. How do you find the slope of a vertical line?
  2. What is the slope of a horizontal line?
  3. Can two different lines have the same slope?
  4. How does slope relate to the steepness of a line?
  5. How do you find the slope when given an equation in slope-intercept form?

Tip: For a quick slope check, pick two easy-to-read points on the line!

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Math Problem Analysis

Mathematical Concepts

Slope of a Line
Coordinate Geometry

Formulas

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

Theorems

Linear equations
Coordinate plane

Suitable Grade Level

Grades 7-9