Question

Verify whether these lines pass through the point (4,3)
2x - 3y = -1
y = 3x + 2
3x + 4y = 24 [4 MARKS]

Answer 1

Concept : 1 Mark
Lines : 1 Mark each

For any line to pass through a point, the point must satisfy the equation:
Putting x = 4, y = 3 in 2x – 3y = -1
$(2\times 4)–(3\times 3)=-1$
The equation holds. Hence, the line passes through (4, 3)

Putting x = 4, y = 3 in y = 3x + 2
$3\ne (3\times 4)+2$
The equation does not hold. Hence, the line does not pass through (4, 3)

Putting x = 4, y = 3 in 3x + 4y = 24
$(3\times 4)+(4\times 3)=24$
The equation holds. Hence, the line passes through (4, 3)