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Line L has an undefined slope. Line M is...

Line L has an undefined slope. Line M is perpendicular to line L. Which of the following could be the equation of line M?

A

`x=y`

B

`y=7`

C

`x=-3`

D

`xy=4`

Text Solution

Verified by Experts

The correct Answer is:
B
Difficult: Medium
Category: Heart of Algebra/ Linear Equations
Strategic Advice: A line with an undefined slope is a vertical line, or in other words, parallel to the y-axis. Getting A line that is perpendicular to a vertical line must be a horizontal line, which has a slope of 0. Its equations, therefore, will be of the form `y=0x+b`, or just y=b, where b is a constant. The only equations that meets this criterion is choice (B).
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Knowledge Check

  • Line l contains points (3, 2) and (4, 5). If line m is perpendicular to line l, then which of the following could be the equation of line m?

    A
    `x+5y=15`
    B
    `x+3y=15`
    C
    `3x+y=5`
    D
    `-5x+y=(1)/(3)`

  • Line f in th exy-plane passes through the origin and has a slope of -2/5. Line z is perpendicular to line f and passes through the point (6,2). Which of the following is the equation of line z ?

    A
    `y =-1/5x`
    B
    `y =-2/5x -13`
    C
    `y =5/2x`
    D
    `y =5/2x-13`

  • The slope of the line perpendicular to line 3x-5y+8=0 is

    A
    `-(5)/(3)`
    B
    `-(3)/(5)`
    C
    `(3)/(5)`
    D
    `(5)/(3)`

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    Find the slope of a line perpendicular to the line whose slope is 5.

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    Find the slope of a line perpendicular to the line 3x+5y=8 .

    Find the slope of a line perpendicular to the line whose slope is 0

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