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Step-by-step explanation:
Given :-
2x+y = 6
To find:-
Draw the graph of the equation and find the coordinates of the point where the graph intersects the y - axis ?
Solution :-
See the above attachment for graph.
Given equation is 2x+y = 6
=> y = 6-2x
On taking x = 0,1,2,3... then we get the values of y =6,4,2,0,...
The points are (0,6),(1,4),(2,2),(3,0),(-1,8),...
Scale:-
On X-axis 1 cm = 1 unit
On Y-axis 1 cm = 2 units
Observations:-
- The graph of the given equation is a straight line .
- It touches X-axis at (3,0) and Y-axis at (0,6).
Answer :-
The coordinates of the point where the graph intersects the y - axis is (6,0)
Points to know:-
- A linear equation in two variables has infinitely number of many solutions.
- Every point lies on the graph is a solution of it.
- The equation of X-axis is y = 0
- The equation of Y-axis is x = 0
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