Question

Verify whether x + 3y - 6 = 0 passes through the following points:
1. (0,2)
2. (3,3)
3. (2,4)
4. (4,1) [4 MARKS]

Answer 1

Points : 1 Mark each

x + 3y – 6 = 0

1.Putting (0, 2) in the equation $⟹$
$0+(3\times 2)–6=0$
The equation holds. Hence the line passes through (0, 2)

2. Putting (3, 3) in the equation $⟹$
$3+(3\times 3)–6=6\ne 0$
The equation does not hold. Hence the line does not pass through (3, 3)

3.Putting (2, 4) in the equation $⟹$
$2+(3\times 4)–6=8\ne 0$
The equation does not hold. Hence the line does not pass through (2, 4)

4.Putting (4, 1) in the equation $⟹$
$4+(3\times 1)–6=1\ne 0$
The equation does not hold. Hence the line does not pass through (4, 1)