Question

If (2,3), (4, k), and (6, -3) are straight lines, the value of k
a) 3
b) -2
c) 2
d) 0

given an explanation with correct (accurate) answer please ​

Answer 1

Step-by-step explanation:

$A(2,3) - - - - - B(4,K) - - - - - C(6,-3) \\ let \:coordinate \: of \: B = \frac{(x_1+x_2)}{2} = 4\: \: , \: \: \frac{(y_1+y_2)}{2} = K\\ =⟩ \frac{2 + 6}{2} = 4 \: \: , \: \: \frac{3 + (- 3)} {2} = K \\ =⟩ 4 = 4 \: \: , \: \: 0 = K \\ \rightarrow \: \boxed{K = 0} \\ hence, \: (d) \: is \: the \: answer \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}} \\ \\ \blue{ \boxed{Thank \: you \: so \: much}} \\ \blue{ \boxed{I \: appreciate \: your \: effort}}$