Jawab:

Penjelasan dengan langkah-langkah:

1. (2, 3) dan (6, 5)

m = (5 - 3) / (6 - 2)

m = 2/4 = ½

2. 5x - 2y + 3 = 0

2y = 5x + 3

y = (5/2)x + (3/2)

y = 2½x + 1½

Gradien garis m = 5/2

Garis h tegak lurus garis m, sehingga

Gradien garis m x Gradien garis h = -1

(5/2) x Gradien garis h = -1

Gradien garis h = -1/(5/2) = -1 x (2/5) = -⅖

3. 2x + y - 6 = 0

Titik potong sumbu X, y = 0.

2x + 0 - 6 = 0

2x = 6

x = 6/2 = 3

Koordinat titik potong sumbu X adalah (3, 0).

Titik potong sumbu Y, x = 0.

2(0) + y - 6 = 0

y = 6

Koordinat titik potong sumbu Y adalah (0, 6).

4. P(-1, -6) dan Q(-5, 3).

(y - (-6))/(3 - (-6)) = (x - (-1))/(-5 - (-1))

(y + 6)/(3 + 6) = (x + 1)/(-5 + 1)

(y + 6)/9 = (x + 1)/(-4)

9(x + 1) = -4(y + 6)

9x + 9 = -4y - 24

9x + 4y + 9 + 24 = 0

9x + 4y + 33 = 0

5. P(-5, 6) dan Q(4, 3).

(y - 6)/(3 - 6) = (x - (-5))/(4 - (-5))

(y - 6)/(3 - 6) = (x + 5)/(4 + 5)

(y - 6)/(-3) = (x + 5)/9

-3(x + 5) = 9(y - 6)

-3x - 15 = 9y - 54

3x + 9y + 15 - 54 = 0

3x + 9y - 39 = 0

x + 3y - 13 = 0

3y = -x + 13

y = -⅓x + (13/3)

m = -⅓

gradien garis yg tegak lurus garis di atas adalah -1/(-⅓) = 3

garis melalui titik (-2, -4).

y - (-4) = 3 (x - (-2))

y + 4 = 3 (x + 2)

y + 4 = 3x + 6

y = 3x + 6 - 4

y = 3x + 2