Question

Find the value of k if it is known that the line y=kx+2 goes through point:

P (−7, 12)

C(3, −7)

Answer 1

k = -10/7 and k = -3

Explanation:

Given: y = kx + 2

where k is the slope of line and 2 is y-intercept.

∵ line y = kx + 2 is passing through point P (-7, 12), ∴ x = -7 and y = 12

Now substituting the value of x and y in above equation,

y = kx + 2

12 = k(-7) + 2

-7k = 12 - 2

- 7k = 10

`k = (-10)/(7)`

In the same way, ∵ line y = kx + 2 is passing through point P (3, -7), ∴ x = 3 and y = -7

y = kx + 2

Now substituting the value of x and y in above equation,

-7 = k(3) + 2

3k = -7 - 2

3k = - 9

k = -3