Math Problem Statement

Find the slope of the line.

Solution

The image you uploaded contains a graph of a line on a coordinate plane. The graph seems to be used to determine the slope of the line, which is also referred to as the gradient. The slope is typically calculated as the ratio of the rise (the change in the y-coordinate) to the run (the change in the x-coordinate) between two points on the line.

Step-by-Step Explanation:

  1. Identify Two Points on the Line: The line intersects the grid at clear points, making it easier to determine their coordinates. Let's assume the points are A(x1,y1)A(x_1, y_1) and B(x2,y2)B(x_2, y_2).

  2. Calculate the Slope (m): The formula for the slope mm is: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1} The rise is y2y1y_2 - y_1, and the run is x2x1x_2 - x_1.

  3. Example Calculation: If one point on the line is (0,0)(0, 0) and another is (3,6)(3, 6), then: m=6030=63=2m = \frac{6 - 0}{3 - 0} = \frac{6}{3} = 2 The slope is 22.

From the image, it seems you are expected to enter the slope in the blank provided. The correct answer would likely be the numerical value you find using the steps above.

If you can confirm the points or need any further help with this problem, feel free to ask!


Would you like more details or have any other questions?

Here are 5 related questions you might find useful:

  1. How do you find the y-intercept of a line?
  2. What is the significance of the slope in real-world problems?
  3. How does the slope relate to the angle of the line?
  4. What happens to the slope if the line is horizontal or vertical?
  5. How can you find the equation of a line given two points?

Tip: When dealing with a graph, always ensure you clearly identify the points you use to calculate the slope to avoid any errors.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Slope of a Line

Formulas

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

Theorems

Slope formula

Suitable Grade Level

Grades 6-8