Matematika Sekolah Menengah Pertama Tentukan nilai a agar garis – garis 2x – y = 3 dan x + ay = 8a. saling tegak lurusb. saling sejajar​​

theodorasawaynulv – March 05, 2023

Tentukan nilai a agar garis – garis 2x – y = 3 dan x + ay = 8

a. saling tegak lurus

b. saling sejajar​​

Materi : Persamaan Garis Lurus

[ 2x - y = 3 ] → ( y = 2x - 3 ) { m = 2 }

[ x + ay = 8 ] → ( ay = - x + 8 )

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Bagian A ( saling sejajar )

ay = -x + 8

y = -x/a + 8/a

[ m = mx/a ]

2 = -1/a

2a = -1

{ a = -½ }

Bagian B ( Tegak Lurus )

[ -1/m = mx/a ]

-½ = -1/a

( -½ )a = -1

a = -1 × -½

{ a = ½ }

Semoga bisa membantu

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