A) If the line 2x + 3y -8=0 is perpendicular to the line kx-6y =9 find k.

Question

asked Jun 7, 2023 62.2k views

1 Answer

Moligaloo · Answer 1 · 2023-06-13T10:15:33+0000

Answer:

k = 9.

Explanation:

2x + 3y -8=0

3y = -2x + 8

y = -2/3 x + 8/3

So the slope of this line is -2/3.

Therefore the slope of a line perpendicular to the above is -1 /-2/3

= 3/2.

kx - 6y = 9

6y = kx - 9

y = k/6x - 3/2

But the slope is 3/2,

So k/6 = 3/2

2k = 18

k = 9.