The equation of straight line is y = ax + b
Changing co-ordinates, we get
b = -ax + y
x |
y |
|
1 |
0 |
b = -a |
2 |
1 |
b = 1-2a |
4 |
3 |
b = -4a + 3 |
2 |
0 |
b = -2a |
Plot the above obtained eq. of line on the graph paper and then find a point through which maximum number of lines pass.
From the graph, we observe that 3 lines intersect a common point i.e. a = 1 & b = -1.
By using these values of a and b we can write another eq. of line in xy-plane i.e. y = x – 1
Hence, three lines intersecting at one point in ab-plane means there are three points on one line in xy-plane.
Line passes through three points out of four given points.