Question

Jawab yaa :) Dapet point lebih lho!

Tentukan persamaan garis lurus melalui (x,y) dan
a. sejajar garis ax + by = c
b. tegak lurus garis ax + by = c

Answer 1

Verified answer

Persamaan Garis Lurus.

ax + by = c
by = c - ax
y = -a/b x + c/b ← Bentuk y = mx + c

Jawaban soal a.
Sejajar berati gradiennya sama. m₁ = m₂ = -a/b
y - y₁ = m₂(x - x₁)
y - y₁ = -a/b (x - x₁)
b(y - y₁) = -a(x - x₁)
-ax + ax₁ = by - by₁
ax + by = ax₁ + by₁

Jawaban soal b.
Tegak lurus, m₁ m₂ = -1. m₂ = b/a.
y - y₁ = m₂(x - x₁)
y - y₁ = b/a (x - x₁)
a(y - y₁) = b(x - x₁)
bx - ay = bx₁ - ay₁