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

Question

Which function describes the line numbered 1?

XY1234

Video Solution

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 .

Answer

y=x y=-x