Question

Tegak lurus 4y+3x=2 melalui titik (-4,1)

Answer 1

4y + 3x = 2
4y = -3x + 2
Tegak lurus ->  m1 x m2 = -1 
m1 = -3
m2 = 1/3
Persamaan garis lurus --> y - y1 = m(x - x1)
y1 = 1, x1 = -4, m = 1/3
y - 1 = 1/3 (x - (-4)) 
y - 1 = 1/3 x + 4
y = 1/3 x + 4 +1
Persamaan garis lurus yang dimaksud = y = 1/3 x + 5

~maaf kalo salah, saya masi pemula, masi smp :)

Answer 2

3x+4y = 2
a = 3, b = 4
gradien tgak lurus :
m = b/a = 4/3


maka,
pers.grs.melalui ttk.(-4,1) dan m = 4/3 :
y-y1 = m.(x-x1)
y-1 = 4/3 . (x-(-4))
y-1 = 4/3 . (x+4)
kdua ruas dikali dg 3, didapat :
3.(y-1) = 4.(x+4)
3y-3 = 4x+16
4x-3y+16+3 = 0
4x-3y+19 = 0