which of the following equations represent a line passing through the origin
Answers
Answer:
(4) 2x + 3y = 0.
Step-by-step explanation:
Given:- The given equations are 2x + 3 = 0, 3y + 2 = 0, 2x + 3y + 5 = 0 and 2x + 3y = 0.
To Find:- The equation that passes through origin (0, 0).
Solution:-
The line must pass through the origin i.e. (0, 0).
The given equation are 2x + 3 = 0, 3y + 2 = 0, 2x + 3y + 5 = 0 and 2x + 3y = 0.
The line will yields a value of 0 when x = 0 and y = 0 will be the straight line that passes through origin.
Now substituting the value of x = 0 and y = 0 in all the given equation, we get
1. 2x+3 = 2(0) + 3
= 3
2. 3y+2 = 3(0) + 2
= 2
3. 2x + 3y + 5 = 2(0) + 3(0) + 5
= 5
4. 2x + 3y = 2(0) + 3(0)
= 0
Therefore, equation 2x + 3y = 0 is the line that passes through origin.
The correct option is (4) 2x + 3y = 0.
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