draw the graph of linear equation 2x + y = 6 .At what point the graph cut the x-axis and y-axis
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We are given to draw the graph of the following linear equation :
Also, to find the co-ordinates of the point where the graph cuts the X-axis.
From equation (i), we have
So, if x = 1, then y = 6 - 2 × 1 = 6 - 2 = 4.
And, if x = 2, then y = 6 - 2 × 2 = 6 - 4 = 2.
That is, A(1, 4) and B(2, 2) are two points on the line graph of equation (i).
As shown in the attached figure below, these two points are joined to form a straight line.
This straight line is the graph of the given equation.
Now, the y co-ordinate of the point where the graph cuts the X-axis is 0.
Putting y = 0 in equation (i), we get
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