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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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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
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  14. If the slop of line joining the points (6,-3) and (x,7) is 2, find the...

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  15. Show that the line joining the points (4,-1) and (-3,3) is parallel to...

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  16. If the line joining the points (5,y) and (4,9) is parallel to the line...

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  17. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

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  18. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

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  19. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

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  20. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

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  21. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

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