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The slope of a line that is perpendicula...

The slope of a line that is perpendicular to 2x+2y=7

A

-2

B

`-(3)/(2)`

C

`2/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Transform the given equation into slope-intercept form: `y=-3/2x+7/2` to see that the slope is `-3/2`. The slope of a perpendicular line is the negative reciprocal, or `2/3`.[2]
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Knowledge Check

  • Which of the following is an equation of a line that is perpendicular to 5x+2y=8 ?

    A
    `8x-2y=5`
    B
    `5x-2y=8`
    C
    `2x-5y=4`
    D
    `2x+5y=10`

  • Determine the slope of a line perpendicular to -3x+5y=20

    A
    `-4`
    B
    `-5/3`
    C
    `3/5`
    D
    `1/4`

  • Which of the following is an equivalent of a line that is perpendicular to the line y=-2(x+1) ?

    A
    `x+2y=7`
    B
    `8x-4y=9`
    C
    `(x-1)/(6)=(y)/(3)`
    D
    `y-2x=0`

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