Calculate the Slope: Linear Function in Coordinate Plane Analysis

For the function in front of you, the slope is?

XY

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose whether the slope is negative or positive
00:04 Let's select 2 points on the graph
00:07 Let's pay attention to the direction of progression, to know what comes before what
00:12 The function is decreasing, therefore the slope is negative
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

For the function in front of you, the slope is?

XY

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Observe the given graph and the plotted line.
  • Step 2: Determine the direction of the line as it moves from left to right across the graph.
  • Step 3: Understand that a line moving downwards from left to right represents a negative slope.

Now, let's work through these steps:

Step 1: The graph shows a straight line that starts higher on the left side and descends towards the right side.

Step 2: As the line moves from left to right, it descends. This is a key indicator of the slope type.

Step 3: A line that moves downward from the left side to the right side of the graph (decreasing in height as it proceeds to the right) is characteristic of a negative slope. Conversely, a positive slope would show a line ascending as it moves rightward.

Therefore, the solution to the problem is the line has a negative slope.

3

Final Answer

Negative slope

Practice Quiz

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For the function in front of you, the slope is?

XY

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