If the lines 2y – kx + 2 = 0 and y + x –

^{k}/_{2}= 0 Intersect at (1, -2), find the value of k-
**A.**

-4 -
**B.**

-3 -
**C.**

-2 -
**D.**

-1

##### Correct Answer: Option C

##### Explanation

If the point of intersection is (1, -2), it implies that x = 1 and y = -2 when the two equation are solved simultaneously.

∴ substitute x = 1 and y = -2 in any of the equations

2y – k x + 2 = 0

2(-2) – k(1) + 2 = 0

-4 – k + 2 = 0

-4 + 2 = k

-2 = k