linear equation of 2x + 3y =6
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Lets reform the equation in its standard form of y=mx+c
2x+3y=6
y=−2x/3+2
Slope=−2/3,y−intercept=2
Only line with y-intercept=2 is (IV)
And it has negative slope too.
Hence, IV represents graph of 2x+3y=6.
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