Draw the graph of the linear equation 2x+y=5. Find the points where the line meets the x-axis and y-axis from the graph.
Dear Student!
The given linear equation is 2x + y = 5.
2x + y = 5
∴ y = 5 – 2x.
When x = 0, y = 5 – 2 × 0 = 5 – 0 = 5
When x = 1, y = 5 – 2 × 1 = 5 – 2 = 3
When x = 2, y = 5 – 2 × 2 = 5 – 4 = 1
Thus, we have the following table,
| x | 0 | 1 | 2 |
| y | 5 | 3 | 1 |
The graph of the given equation is shown as,
From the graph, we observe that
Line intersect the x-axis at 
.
Line intersect the y-axis at (0, 5).
Cheers!