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Draw the graph of the straight line given by equation 5x+6y=30 . Use this graph to find the area of the triangle by this line and the co-ordinate axes.

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Correct Answer - (i) (4,0)(0,2), (ii)(3,0)(0,-2)
Given equation is 5x+6y =30
`rArr` 5x=30-6y
`rArr x=6-(6)/(5)Y`
For easy calculation we will take the values of y as a multiple of 5
Let y = 0 `rArr` x=6
Let y = 5 `rArr` x=0
Let y=10 `rArr` =-6
Tables for values:
image
PLot the points A (6,0), B (0,5) and C (-6, 10) on the same graph paper, draw a straight line through these points
image

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