Question
Draw graph of the following linear equations on the same axes
(i) x + y = 3
(ii) 3x – 2y = 4
Also shade the region formed by their graphs and y-axis.
Solution
(i) 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 the same by a ruler to get the line, which is the graph of the equation x + y = 3.
(ii) 3x - 2y = 4 ....(2)
2y = 3x - 4
Table of solutions
|
X |
2 |
4 |
|
y |
1 |
4 |
We plot the points (2, 1) and (4, 4) on the same graph paper on the same axes and join the same by a ruler to get the line which is the graph of the equation 3x – 2y = 4.
The region formed by the graphs of the given linear equations and y-axis has been shaded.
