The graph of 4x + 7y =0 is a line passing through the origin. True or False with explanation.
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Answer :-
Yes it will pàss through the origin.
Explanation :-
Whenever we are given a linear equation of a straight line which is of the form ax + by + c = 0, then it is necessary for the value of c to be equal to 0 for the line to pàss through the origin.
The given equation is 4x + 7y = 0.
Comparing with general form of equation :-
- a = 4
- b = 7
- c = 0
Since the value of c is 0, the given line will pàss through the origin.
[ See the graph of equation 4x + 7y = 0 in the attachment ]
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