Soal Matematika SMP Tolong di bantu kak.

Mapel : Matematika
Bab: Persamaan Garis Lurus(PGL)

~TEGAK LURUS~

Titik (2,0) dan (0,3)

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]


[tex] \frac{y - 0}{3 - 0} = \frac{x -2 }{0 - 2} [/tex]
[tex] \frac{y}{3} = \frac{x - 2}{ - 2} [/tex]
[tex] - 2y = 3x - 6[/tex]

[tex]y = - \frac{3}{2} x + 3[/tex]
[tex]m = \frac{ - 3}{2} [/tex]

karena ~TEGAK LURUS~ maka,

m1 × m2 = -1
-3/2 × m2 = -1
m2 = -1/-3/2
m2 = -1/1 × -2/3
m2 = 2/3

titik (2,0)

[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 0 = \frac{2}{3} (x - 2)[/tex]
[tex]y = \frac{2}{3} x - \frac{4}{3} \: \: \: kali( \times 3[/tex]
[tex]3y = 2x - 4[/tex]
[tex]2x - 3y = 4[/tex]

[tex](a)[/tex]

MAPEL = MATEMATIKA
KELAS = 8
BAB     = PERSAMAAN GARIS LURUS

garis a melalui titik ( 2,0 ) dan ( 0,3 )
m₁ = (y₂ - y₁)/(x₂ - x1)
m₁ = (3 - 0)/(0 - 2)
m₁ = 3/-2
m₁ = -3/2

karena tegak lurus maka,
m₁ . m₂ = -1
       m₂ = -1 × 2/-3
       m² = 2/3

garis b melalui titik ( 2,0 ) :

     y - y₁ = m( x - x1 )
      y - 0 = 2/3( x - 2 )
3( y - 0 ) = 2( x - 2 )
         3y = 2x - 4
           4 = 2x - 3y
  2x - 3y = 4

jawaban A.
semoga membantu