Question

If the point (k – 2, k + 6) lies on the line 3x + y + 15 = 0, find the value of k.

• A. 3.75

Answer 1

The correct option is A 3.75
Since the point $(k-2,k+6)$ lies on the line $3x+y+15=0$,

$3(k-2)+(k+6)+15=0$

$\Rightarrow 3k-6+k+6+15=0$

$\Rightarrow 4k=-15\Rightarrow k=\frac{-15}{4}=3.75$