Jawaban:

a. -3x + y + 4 = 0

b. x + 2y - 5 = 0

c. -4x + y - 9 = 0

d. 5x + y - 5 = 0

e. -8x + 4y + 8 = 0

Penjelasan dengan langkah-langkah:

a. m = 3 melalui (0,-4)

x1 = 0

y1 = -4

Cara:

y - y1 = m(x - x1)

y - (-4) = 3(x - 0)

y + 4 = 3x

y + 4 - 3x = 0

-3x + y + 4 = 0

b. m = -1½ dan melalui (1,2)

m = -1/2 x1 = 1

y1 = 2

Cara:

y - y1 = m(x - x1)

y - 2 = -1/2(x - 1)

2(y - 2) = -1(x - 1)

2y - 4 = -x + 1

2y - 4 + x - 1 = 0

x + 2y - 4 - 1 = 0

x + 2y - 5 = 0

c. m = 4 melalui (-2,1)

x1 = -2

y1 = 1

Cara:

y - y1 = m(x - x1)

y - 1 = 4(x -(-2))

y - 1 = 4(x + 2)

y - 1 = 4x + 8

y - 1 - 4x - 8 = 0

-4x + y - 1 - 8 = 0

-4x + y - 9 = 0

d. melalui (1,4) dan (2,-1)

x1 = 1 x2 = 2

y1 = 4 y2 = -1

Cara:

y - y1/y2 - y1 = x - x1/x2 - x1

y - 4/-1 - 4 = x - 1/2 - 1

y - 4/-5 = x - 1/1

1(y - 4) = -5(x - 1)

y - 4 = -5x + 1

y - 4 + 5x - 1 = 0

5x + y - 4 - 1 = 0

5x + y - 5 = 0

e. melalui (-1,0) dan (3,-8)

x1 = -1 x2 = 3

y1 = 0 y2 = -8

Cara:

y - y1/y2 - y1 = x - x1/x2 - x1

y - 0/-8 - 0 = x -(-1)/3 -(-1)

y/8 = x + 1/4

4(y) = 8(x - 1)

4y = 8x - 8

4y - 8x + 8 = 0

-8x + 4y + 8 = 0

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