How to draw the graph of the linear equation 3x+4y=6 . At what point the graph cuts x axis and y axis

Asked by  | 16th Jan, 2012, 05:58: PM

Expert Answer:

To draw the graph first we make the point table for the equation 3x+4y =6.
To obtain the points, put y = 0, we get x = 3x = 6 or x = 2, so the point is (2, 0).
put, y = 3, we get 3x + 12 = 6 or, 3x = -6 or, x = -2, so the point is (-2, 3).
put x = 0, we get 4y = 6 or, y = 6/4 = 3/2 = 1.5, so the point is (0, 1.5).
Now plot the points (2,0), (-2,3) and (0, 1.5) and join them.
To obtain the points where this line cut x and y axis, observe the points on grapg where
the line cut x and y axis. The coordinate of these points are the reqd. point.
you may observe that the points are (2,0) and (0,1.5).

Answered by  | 17th Jan, 2012, 09:34: AM

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