Question

Persamaan garis yang melalui titik ( -1, 3 ) dan tegak lurus garis 2x - 3y = 0 adalah . . . .
a. 2y = -3x + 3
b. -2y = 3x + 3
c. 3y = -2x + 3
d. -3y = 2x - 2

Answer 1

2x - 3y = 0
-3y = -2x
3y = 2x
y = 2/3x

m1 = 2/3
m2 = -3/2

y - b = m(x - a)
y - 3 = -3/2(x + 1)
y - 3 = -3/2x - 3/2
2y - 6 = -3x - 3
2y = -3x - 3 + 6
2y = -3x + 3

Answer 2

3y=2x
y=2x/3
m=2/3

m.m2 = -1
2/3.m2 = -1
m2 = -3/2

y-y1= m2(x-x1)
y-3=-3/2(x+1)
y-3=-3x/2 - 3/2
2y = -3× + 3