Finding the Slope of 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
00:03 Let's choose 2 points on the graph
00:08 Let's pay attention to the direction of progression, to know what comes before what
00:14 The function is increasing, therefore the slope is positive
00:18 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, let's analyze the given graph of the function to determine the slope's sign.

The slope of a line on a graph indicates the line's direction. A line with a positive slope rises as it moves from left to right, indicating that for every step taken to the right (along the x-axis), we move upward. Conversely, a line with a negative slope falls as it moves from left to right, meaning each step to the right results in moving downward.

Examining the graph provided, the red line starts higher on the left and goes downward towards the right visually. This indicates that the line is rising as it goes from left to right, which confirms it has a positive slope.

Therefore, the solution to the problem, regarding the slope of the line, is that it is a 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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