Question
Identify the points which lie on the line 3x+4y=7.
Answer: Option A
:
A, B, and D
If a point lies on a line, the coordinates should satisfy the equation of the line.
So, any point lying on the line 3x + 4y = 7 is a solution of the equation.
Let's substitute the points given in the options in 3x + 4y = 7 to check which of them satisfy the equation.
(1,1):
LHS=3x+4y=3×(1)+4×(1) =7=RHS
(0,74):
LHS=3x+4y=3×(0)+4×(74) =7=RHS
(0,7):
LHS=3x+4y=3×(0)+4×(7) =28≠RHS
(73,0):
LHS=3x+4y=7=3×(73)+4×(0) =7=RHS
∴ Points (1,1), (0,74) and (73,0) lie on the given line.
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:
A, B, and D
If a point lies on a line, the coordinates should satisfy the equation of the line.
So, any point lying on the line 3x + 4y = 7 is a solution of the equation.
Let's substitute the points given in the options in 3x + 4y = 7 to check which of them satisfy the equation.
(1,1):
LHS=3x+4y=3×(1)+4×(1) =7=RHS
(0,74):
LHS=3x+4y=3×(0)+4×(74) =7=RHS
(0,7):
LHS=3x+4y=3×(0)+4×(7) =28≠RHS
(73,0):
LHS=3x+4y=7=3×(73)+4×(0) =7=RHS
∴ Points (1,1), (0,74) and (73,0) lie on the given line.
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