Question

Jika garis x + 4y = 5 tegak lurus pada garis mx + (2m - 1 ) y =9 , nilai m?
Tolong banget yaaa

Answer 1

X + 4y = 5
4y = -x + 5
y = -1/4 x + 5/4 -----> gradien = -1/4

mx + (2m -1) y = 9
gradien = - m /(2m -1)

syarat grs tegak lurus
gradien 1 . gradien 2 = -1
-1/4 . gradien 2 = -1
gradien 2 = 4
- m /(2m-1) = 4
-m = 4(2m -1)
-m = 8m -4
8m + m = 4
9m = 4
m = 4/9