Draw the graph of equation 3x+6y=12. Find the coordinates of the point where the graph cuts the y axis
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Step-by-step explanation:
Solution:-
It is given
3x+2y=6
We can also write it as
2y=6−3x
y=
2
6−3x
Substituting x=2 in the given equation
y=
2
6−3(2)
So we get
y=
2
6−6
y=0
Substituting X=4 in the given equation
y=
2
6−3(4)
So we get
Y=
2
6−3(4)
So we get
y=
2
6−12
y=
2
−6
By division
y=−3
x: 2 4
y: 0 -3
Now draw a grapg using the points (2,0)(4,3)
Join the points through a line and find the coordinates which cuts y-axis.
From the graph we know that the line joining the two points cut the y-axis at a point P which is above x-axis at 3 units distance
Therefore, the coordinate of the point is P(0,3)
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