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If the slope of a line passing through t...

If the slope of a line passing through the points `(x,1)` and `(-3,5)` is `(4)/(3)` , find the value of `x`.

A

`x=-6`

B

`x=6`

C

`x=-7`

D

`x=7`

Text Solution

Verified by Experts

The correct Answer is:
A
The slope of a line passing through the points `(x,1)` and `(-3,5)` is
`m=(5-1)/(-3-x)=(4)/(-3-x)`
Therefore, `(4)/(-3-x)=(4)/(3)`
`implies -3-x=3`
`implies x=-6`.
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Knowledge Check

  • The slope of a line passing through the points A(4, -3) and B(6, -3) is

    A
    4
    B
    0
    C
    5
    D
    None of the above

  • The slope of the line passing through the points (5,-2) and (-3,-6) is ……

    A
    2
    B
    -2
    C
    `1/2`
    D
    `-1/2`

  • The slope of line passing through the points P(-3,5) and Q(4,-1) is

    A
    `(-7)/6`
    B
    `(-6)/7`
    C
    `(-1)/7`
    D
    `-2`

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