Question
Draw the graph of x + y = 3 and 2x + 2y = 8 on the same axes. What does the graph of these lines represent?
Solution
x + y = 3 ...(1)
⇒ y = 3 – x
Table of solutions
|
X |
0 |
3 |
|
y |
3 |
0 |
We plot the points (0, 3) and (3, 0) on a graph paper and join these points by a ruler to get the line which is the graph of the equation x + y = 3.
2x + 2y = 8 ....(2)
2y = 8 - 2x
y = 4 - x
2y = 8 - 2x y = 4 - xTable of solutions
|
X |
0 |
4 |
|
y |
4 |
0 |
We plot the points (0, 4) and (4, 0) on the same graph paper and join these points by a ruler to get the line which is the graph of the equation 2x + 2y = 8.
From graph, we see that the lines represented by the equations (1) and (2) are parallel.
