What is the slope of the line shown below

General
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what is the slope of the line shown below

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What is the slope of the line shown below?

Answer:

To determine the slope of a line given its graph, you need to identify two points on the line. Once you have the coordinates of these points, you can use the slope formula:

\text{slope} = m = \frac{y_2 - y_1}{x_2 - x_1}

Here, (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

Let’s go through the steps:

  1. Identify Two Points: Select two points on the line, let’s say point A (x_1, y_1) and point B (x_2, y_2).
  2. Calculate the Differences in Coordinates: Compute y_2 - y_1 and x_2 - x_1.
  3. Apply the Slope Formula: Substitute the differences into the formula \frac{y_2 - y_1}{x_2 - x_1} to get the slope.

Example:
Suppose we have two points on the line: A (2, 3) and B (5, 11).

  1. Identify Two Points: (2, 3) and (5, 11)
  2. Calculate Differences:
    • y_2 - y_1 = 11 - 3 = 8
    • x_2 - x_1 = 5 - 2 = 3
  3. Apply the Slope Formula:
    m = \frac{11 - 3}{5 - 2} = \frac{8}{3}

So, the slope m of the line is \frac{8}{3}.

To determine the slope of the specific line shown in your question (which is not visually provided here), follow the same process using the precise coordinates from the graph. If you provide the coordinates, I can help calculate the slope more specifically.

Quick Recap:

  • Identify two points on the line.
  • Calculate the differences in their y-coordinates and x-coordinates.
  • Use the formula m = \frac{y_2 - y_1}{x_2 - x_1} to find the slope.