Penjelasan dengan langkah-langkah:

2x - 3y - 9 = 0

m1= -a/b = -2/-3 = ⅔

a. 2x + y +2=0 ....... y = -2x - 2

m= -2

2x - 3y - 9 = 0

2x - 3(-2x - 2) = 0

2x + 6x + 6 = 0

8x = -6

x = -6/8 = -¾

y = -2x - 2

= -2(-¾) - 2

= 3/2 - 2

= -½

berpotongan di (-¾, ½)

b. 2x + 3y + 4 = 0 ...... y = ⅓(-2x - 4)

m= -⅔

2x - 3y - 9 = 0

2x - 3(-2x/3 - 4/3) = 9

2x + 2x + 4 = 9

4x = 5

x = 5/4

. y = ⅓(-2x - 4)

= -2x/3 - 4/3

= -2(5/4)/3 - 4/3

= -⅚ - 4/3

= -13/6

berpotongan di titik (5/4, -13/6)

c. y =-3 + 2x

m2= -⅔ = m1

sejajar ( tidak berpotongan)