Bantuin 4 soal Mapel mtk tentang persamaan garis

1. Titik A (3,5). m= 4

y – y1= m (x – x1)

y – 5= 4 (x – 3)

y – 5= 4x – 12

y= 4x – 12 + 5

y= 4x – 7

2. Titik A (2,6). Titik B (-3,4)

y – y1 / y2 – y1 = x – x1 / x2 – x1

y – 6 / 4 – 6 = x – 2 / -3 – 2

y – 6 / -2 = x – 2 / -5

-5 (y – 6) = -2 (x – 2)

-5y + 30 = -2x + 4

-5y = -2x + 4 – 30

-5y = -2x – 26

(-5)/(-5) y = -2/-5x – 26/5

y= 2/5x – 26/5

y= 2/5x – 5 1/5

3. Titik B (4,-3). Sejajar y= 8x – 2.

• m= 8

y – y1 = m (x – x1)

y – (-3) = 8 (x – 4)

y + 3 = 8x – 32

y= 8x – 32 – 3

y= 8x – 35

4. Titik C (-5,2). Berpotongan tegak lurus 2x + 3y= 6

• 2x + 3y= 6

3y= 6 – 2x

y= 6/3 – 2/3x

y= 2 – 2/3x

m1= – 2/3

• m1 x m2= -1

– 2/3 x m2= -1

m2= -1 / -2/3

m2= -1 x 3/-2

m2= -3/-2

m2= 3/2

• y – y1 = m2 (x – x1)

y – 2 = 3/2 (x – (-5))

y – 2 = 3/2 (x + 5)

y – 2 = 3/2x + 15/2

y= 3/2x + 15/2 – 2

y= 3/2x + 15/2 – 4/2

y= 3/2x + 11/2

y= 3/2x + 5 1/2