Plot the following point on a graph sheet
(2,1),(2,2),(2,3),(2,4),(2,5),(2,0),(2,1),(2,2),(2,3),(2,4) and (2,5).
Observing the above graph:
1. All these points lie on a straight line which is perpendicular to Xaxis.
2. All these points lie on a straight line which is parallel to Yaxis.
3. The xcoordinate is constant for all these points. That is x = 2.
4. The common property of all these points on the straight line is x = 2.
5. x = 2 is a straight line parallel to Yaxis and at a distance of 2 units
right and it intersects the Xaxis at the point (2,0).
x = 2 is a relation and this is satisfied by all those ordered pairs in which
the first coordinate x is always 2 and the second coordinate y is any real
number.
Draw the graph of y = 3.
All the points whose second coordinate y is 3 and whose first coordinate is
any real number satisfy this relation. Some ordered pairs that satisfy the
given relation are (0,3),(1,3),(3,3),(4,3),(1,3),(2,3),(3,3) and (4,3).
Observing above graph, all these ordered pairs when plotted lie on a straight
line which is parallel to the Xaxis. The straight line y=3 is parallel to
Xaxis and it intersects Yaxis at the point (0,3).
Directions: Draw the graph for linear equations. Verify using TI 83 or TI 84 graphing calculator.
x = 1
x = 2
x = 3
x = 4
y = 1
y = 2
y = 3
y = 4
