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Question
Draw the graph of the lines represented by the equations x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect
Solution
For,
x + y = 4
y = 4 - x
When x = 3, y = 4 - 3 = 1
When x = 0, y = 4 - 0 = 4
When x = -1, y = 4 - (-1) = 5
| x | 3 | 0 | -1 |
| y | 1 | 4 | 5 |
For,
2x - y = 2
y = 2x - 2
When x = 3, y = 2(3) - 2 = 4
When x = 0, y = 2(0) -2 = -2
When x = -1, y = 2(-1) -2 = -4
| x | 3 | 0 | -1 |
| y | 4 | -2 | -4 |
Plotting thses co-ordinates on the graph, we get the lines shown as: (2, 2)
The point of intersection is (2, 2).
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