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Find the x and y Intercepts pi/3

Problem

x=π/3

Solution

  1. Identify the type of equation provided. The expression x=π/3 represents a vertical line on the Cartesian plane.

  2. Find the x-intercept by identifying the point where the line crosses the x-axis. For a vertical line x=k the x-intercept occurs at (k,0)

  3. Substitute the value k=π/3 to find the x-intercept.

x-intercept=(π/3,0)

  1. Find the y-intercept by determining if the line crosses the y-axis. A vertical line x=k only has a y-intercept if k=0 Since π/3≠0 the line is parallel to the y-axis.

  2. Conclude that there is no y-intercept for this vertical line.

Final Answer

x-intercept: *(π/3,0), y-intercept: None


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