Question

Find the value of k so that the point A lies on the line given by the equation A(2,3), kx-2y+k=0

Answer 1

k = 2

Explanation:

given the point (2, 3 ) lies on the line then the coordinates x = 2 and y = 3 make the equation true.

substitute x = 2, y = 3 into the equation ad solve for k

kx - 2y + k = 0 , then

2k - 2(3) + k = 0

2k - 6 + k = 0 ( simplify left side )

3k - 6 = 0 ( add 6 to both sides )

3k - 6 + 6 = 0 + 6 ( simplify both sides )

3k = 6 ( divide both sides by 3 )

`(3)/(3)` k =
`(6)/(3)` , that is

k = 2