Question

Find k, if B(k,-5), C(1,2)& slope of the line is 7

Answer 1

Relation between slope of line and its two points

Answer: Required value of k is 0.

Explanation:

Given that for line BC coordinates of B is ( k , -5) and corrdinates of C is (1 , 2) .

Also slope of the line = 7

Need to determine value of k.

slope of the line that is m having coordiantes of two points as ( x1 , y1) and (x2 , y2) is givne by following formula

m = (y2 - y1 ) / ( x2 - x1 )  

In above case x1 = k , y1 = -5 , x2 = 1 and y2 = 2 , aslo m = 7

Substituting the givne value in above formula we get

7 = (2 - ( -5) / ( 1 - k )

=> 7 ( 1 - k ) = 2 + 5

=> (1-k) = 7/7

=> 1-k = 1

=> 1 - 1 = k

=> k = 0

Hence required value of k is 0.

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