Math Problem Statement

solve

Plot the following points on a graph sheet. Find if all points lie in a line or not by joining them: P(4,0), Q(4,2), R(4,6), S(4,2.5).

Solution

Let's first identify the points that you need to plot based on the coordinates provided:

  • Point P: (4,0)
  • Point Q: (4,2)
  • Point R: (4,6)
  • Point S: (4,2.5)

These are the coordinates of four points on a graph.

We can observe that all the points share the same x-coordinate (x = 4). This means they all lie along a vertical line on the graph at x = 4.

Conclusion:

All points lie on the same vertical line, specifically the line x = 4.

Would you like me to provide further details or walk you through how to plot them manually? Let me know if you have any questions!

Here are some related questions:

  1. What are the key features of vertical and horizontal lines in a coordinate plane?
  2. How do you determine if a set of points lie on the same line?
  3. What is the equation of a vertical line in the coordinate plane?
  4. How would the result change if the points had different x-values?
  5. What is the general approach for plotting points on a coordinate plane?

Tip: When plotting points with the same x-coordinate, you can easily identify them as lying on a vertical line.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Vertical and Horizontal Lines

Formulas

Equation of a vertical line: x = constant

Theorems

Points with the same x-coordinate lie on a vertical line

Suitable Grade Level

Grade 6-8