Question

Describe the set of all points p(x,y) in a coordinate plane that satisfy the given condition

Answer 1

Part A:

The line x = -2 is a vertical line passing through point (-2, 0) on the x axis.

The set of points satisfying x = -2 are all the points on the coordinate plane which lies on the vertical line crossing point -2 on the x-axis.



Part B:

The line y = 5 is a horizontal line passing through point (0, 5) on the y axis.

The set of points satisfying y = 5 are all the points on the coordinate plane which lies on the horizontal line crossing point 5 on the y-axis.



Part C:

The line x = 0 is the y axis.

The set of points satisfying x ≥ 0 are all the points on the coordinate plane to the right of the y-axis.



Part D:

The set of points satisfying xy > 0 are all the points on the coordinate plane which lies on the 1st quadrant and all the points on the coordinate plane which lies on the 3rd quadrant.



Part E:

The line y = 0 is the x axis.

The set of points satisfying y < 0 are all the points on the coordinate plane that are below the x-axis.



Part F:

The line x = 0 is the y axis.

The set of points satisfying x = 0 are all the points on the coordinate plane that lie on the y-axis.



Part G:

The line y = -2 is a horizontal line passing through point (0, -2) on the x axis.

The set of points satisfying y = -2 are all the points on the coordinate plane which lies on the horizontal line crossing point -2 on the y-axis.



Part H:

The line x = 4 is a vertical line passing through point (4, 0) on the x axis.

The set of points satisfying x = 4 are all the points on the coordinate plane which lies on the vertical line crossing point 4 on the x-axis.



Part I:

The set of points satisfying x / y < 0 are all the points on the coordinate plane which lies on the 2nd quadrant and all the points on the coordinate plane which lies on the 4th quadrant.



Part J:

The line xy = 0 are the x-axis and the y-axis.

Therefore, the set of points satisfying xy = 0 are all the points on the coordinate plane which lies on the x-axis and all the points on the coordinate plane which lies on the y-axis.



Part K:

The line y = 1 is a horizontal line passing through point (0, 1) on the y axis.

The set of points satisfying y > 1 are all the points on the coordinate plane which lies above the horizontal line crossing point 1 on the y-axis.



Part L:

The line y = 0 is the x axis.

The set of points satisfying y = 0 are all the points on the coordinate plane that lie on the x-axis.