Question

Find the value of k such that the line whose equation is x - ky = 2 will have a slope of 4

Answer 1

Answer: k = 1/4

Explanation:

The equation given is x - ky = 2

Make y the subject of the formula , we have

x - 2 = ky

that is

ky = x - 2

divide through by k

y =
`(x)/(k)` -
`(2)/(k)`

The equation of a line is given as y = mx + c , where m is the slope and c is the y - intercept. Comparing this with the resulting equation , it means

`(1)/(k)` is the slope

Equating this to the value of slope given , we have

`(1)/(k)` = 4 , therefore

k =
`(1)/(4)`