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What is the slope of the line perpendicular to the line `x/4+y/3=1` ?A. `3/4`B. `- 3/4`C. `-4/3`D. `4/3`

Answer» Correct Answer - D
Given equation of the line `x/4+y/3=1`
can be written as
`3x+4y=12 implies 4y=-3x+12`
`implies y=(-3)/4 x+12/4`
The slope of the line `x/y+y/3=1` is `(-3)/4`
`:.` Slope of the line perpendicular to this line
`=-((-1)/(3//4))=4/3`


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