Question

Find the value of k if the slope of the line joining the point (3,-4)and the (k, 2)is -3

Answer 1

Answer:

the value of k is 1 by using slope formula

Answer 2

The value of k is 1

Step-by-step explanation:

The given points are (3, - 4) and (k, 2)

Then the slope of the line joining the above two points be

{2 - (- 4)}/(k - 3) = (2 + 4)/(k - 3) = 6/(k - 3)

By the given condition,

6/(k - 3) = - 3

or, - 3 (k - 3) = 6

or, - 3k + 9 = 6

or, - 3k = - 3

or, k = 1

Therefore the value of k is 1

Remark: However we can proceed with another approach. Firstly we find the equation of the straight line passing through any two points and express it in the form y = mx + c, where m is the slope of the line and c is any constant.