Identify the Function of Line 1: Graph Analysis in Coordinate Plane

Which function describes the line numbered 1?

XY1234

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Match the function to line 1
00:04 The function is decreasing, therefore the slope is negative
00:09 Let's eliminate all functions with positive slope
00:17 Let's substitute a specific point in each function and find it on the graph
00:37 According to the graph, we'll match it to the function
00:45 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Which function describes the line numbered 1?

XY1234

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Determine if the given line labeled '1' has a positive or negative slope.
  • Find out if the line passes through the origin, which implies the y-intercept, b=0 b = 0 .
  • Identify the function equation based on the observations.

Now, let's work through each step:
- Observation shows that line '1' in red goes through the origin (intersects at the point (0,0)), confirming that the y-intercept, b b , is zero.
- Given that this line descends from left to right, the slope m m is negative. Therefore, the most likely function representation given the described visual descent is y=x y = -x .

Thus, the function describing the line numbered '1' is y=x y = -x .

3

Final Answer

y=x y=-x

Practice Quiz

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

XY

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