Calculate the Slope: Analyzing a Linear Function from its Graph

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
00:05 Let's select 2 points on the graph
00:12 Let's pay attention to the direction of progression, to know what comes before what
00:15 The function is increasing, therefore the slope is positive
00:19 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 determine the slope of the line segment shown in the graph, follow these steps:

  • Identify the line segment on the graph; it's shown as a red line from one point to another.
  • Examine the direction the line segment travels from the leftmost point to the rightmost point.
  • Visually analyze whether the line segment is rising or falling as it moves from left to right.

Here is the detailed analysis:
- The red line segment starts lower on the left side and ends higher on the right side.
- This suggests that as we move from left to right, the line is rising.
- In terms of slope, a line that rises as it moves from left to right has a positive slope.

Therefore, the slope of the line segment is positive.

Thus, the correct answer is Positive slope.

3

Final Answer

Positive slope

Practice Quiz

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

XY

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