For what value of k the line (k – 3)x – (4 – k²)y

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For what value of k the line (k – 3)x – (4 – k²)y + k² – 7k + 6 = 0 is parallel to x-axis ?

1. k = ± 1
2. k = ± 4
3. k = ± 6
4. k = ± 2

Correct Option: D

We know that when a line is parallel to x-axis then Slope = 0

	(4 - k²)	= 0
	k - 3

4 – k² = 0
k² = 4
k = √4
k = ± 2