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On a graph paper, draw a straight line r...

On a graph paper, draw a straight line represented by the equation `2x-3y+12=0`.
Use the graph drawn to find the values o m and n so that the points (m,-2) and (3,n) lies on the given straight line.

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The correct Answer is:
(i) -18
Given equation is 2x-3y+12=0
`rArr` , 2x=3y-12
`rArr , x=(3y-12)/(2)`
Let y = 0 `rArr x=(3xx0-12)/(2)=-6`
Let y =2 `rArr x=(3xx2-12)/(2)=-3`
Let y = 4 `rArr x=(3xx4-12)/(2)=0`
Table for values :

Point the points (-6,0), (-3, 2), (0, 4) on the same graph paper.

Since point (m,-2) lies on the straight line drawn through y = -2 draw a straight line which meets line AB at point A. draw a vertical line through A whihc meets x axis at point x= -9
`therefore` m=-9
Also (3,n) lies on the straight line drawn through x= 3 .Draw a vertical line which meets the straight line at point B. Through point B draw a horizontal line which meets y axis at the point y =6
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