Question

Fine the value of k in order that the points (5,5) , (k,1) , (10,7) lie on a straight line.

Answer 1

Answer:

Refer this attachment mate ☺ ☺ which helpful to you and the answer is in image :

Answer 2

Answer:

The value of k = -5.

Step-by-step explanation:

Given: Points are (5,5) , (k,1) , (10,7).

To find the value of k such that these points lie on straight line.

First determine the equation of line passing through points (5,5) and (10,7).

Equation of line passing through  $(x_{1},y_{1} )$ and $(x_{2},y_{2} )$ is given by:

$y-y_{1} =(\frac{y_{2}-y_{1}}{x_{2}-x_{1}} )(x-x_{1})$

So, the equation of line is:

  y-5=(2/5)(x-5)

5y-25=2x-10

2x-5y+15=0

Since points (5,5) , (k,1) , (10,7) have to lie on the same straight line so point (k,1) satisfies the line 2x-5y+15=0.

=> 2k-5+15=0

=>2k+10=0

=>2k= -10

=>  k = -5

The value of k is -5.

Learn about equation of line:

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