Plot the points (2,0),(2,-3),(2,4),(2,1) and (2,-1)

Question

Describe the set of all points of the form (2,y),  where y is a real number.

Answer 1

Step 1:

Draw the coordinate plane.

Plot the points in the coordinate plane.

Indicate the point : Go  units along the - axis to right of origin.

Indicate the point : Go  units along the - axis to right of the origin and go straight down to  - axis  units.

Indicate the point : Go  units along the - axis to right of the origin and go straight up  units.

Indicate the point : Go  units along the  - axis to right of the origin and go straight up  unit.

Indicate the point : Go  units along the  - axis to right of the origin and go straight down to  - axis  unit.

Step 2:

Graph:

Observe the graph, the points , , ,  and   on the vertical line that is two units right from the  - axis.