Calculate the Slope: Analyzing a Linear Function in the Coordinate Plane

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

XY

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Step-by-step video solution

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00:00 Choose whether the slope is negative or positive
00:07 The function is decreasing, therefore the slope is negative
00:17 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, we need to determine the slope of the line depicted on the graph.

First, understand that the slope of a line on a coordinate plane indicates how steep the line is and the direction it is heading. Specifically:

  • A positive slope means the line rises as it goes from left to right.
  • A negative slope means the line falls as it goes from left to right.

Let's examine the graph given:

  • We see that the line starts at a higher point on the left and descends to a lower point on the right side.
  • As we move from the left side of the graph towards the right, the line goes downwards.

This downward trajectory clearly indicates a negative slope because the line is declining as we move horizontally left to right.

Therefore, the slope of this function is Negative.

The correct answer is, therefore, 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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