Draw the graph of the linear equation 3x + 4y = 6. At what points, does the graph cut the x-axis and the y-axis?
The given equation is 3x + 4y = 6 …(i)
For x =0,
0 + 4y = 6
For y = 0,
3x = 6
x = 2
For x = -2,
3 (-2) + 4y = 6
- 6 - 6 = -4y
y = 3
Plotting the points, we get:
Hence the graph cut the x-axis at (2, 0) and the graph cut the y-axis at (0, 1.5)