Which of the following points lie on the line 7x+3y=4?
- A(−2,6)
- B(−2,−6)
- C(2,6)
- D(2,−6)
Solution & Step-by-step Explanation
To determine which point lies on the line 7x+3y=4, we substitute the coordinates (x,y) of each option into the equation and check for validity.
Option A: (−2,6)
LHS=7(−2)+3(6)=−14+18=4=RHS
This point satisfies the equation.
Let's double-check the other options for confirmation:
Option B: (−2,−6)
LHS=7(−2)+3(−6)=−14−18=−32
=4
Option C: (2,6)
LHS=7(2)+3(6)=14+18=32
=4
Option D: (2,−6)
LHS=7(2)+3(−6)=14−18=−4
=4
Thus, only the point (−2,6) lies on the line.
Option A: (−2,6)
LHS=7(−2)+3(6)=−14+18=4=RHS
This point satisfies the equation.
Let's double-check the other options for confirmation:
Option B: (−2,−6)
LHS=7(−2)+3(−6)=−14−18=−32
=4
Option C: (2,6)
LHS=7(2)+3(6)=14+18=32
=4
Option D: (2,−6)
LHS=7(2)+3(−6)=14−18=−4
=4
Thus, only the point (−2,6) lies on the line.