Draw the graph of the equation x-2y=6.
Verify that each of the points P (2,-2) ,Q(4,-1) and R(-2,-4) lies on straight line.
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Step-by-step explanation:
To draw the graph for the given linear equation, we need to first plot the points which lie on it, join them to get a straight line.
Given, equation is 3x+2y=6=>y=−
2
3
x+3
Substitute different values of x in the equation and calculate to get corresponding values of y.
x
y=−
2
3
x+3
Point (x,y)
0
3 (0,3)
2 0 (2,0)
4 −3 (4,−3)
−2 6 (−2,6)
−4 9 (−4,9)
Plot these points on the graph paper and join them using a straight line.
On observing the graph, we find that the line meets the x-axis at (2,0) and the y - axis at (0,3).
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