Jawaban:

2x−3y+10=0

−3y=−2x−10

y=

3

2

+

3

10

syarat dua garis sejajar yaitu gradiennya sama

m1 = m2 = \frac{2}{3}m1=m2=

3

2

persamaan garis melalui (-1,-3) dan sejajar dengan garis 2x-3y+10=0

\begin{gathered}y - y1 = m(x - x1) \\ y + 3 = \frac{2}{3} (x + 1) \\ y + 3 = \frac{2}{3} x + \frac{2}{3} \\ y = \frac{2}{3} x + \frac{2}{3} - \frac{9}{3} \\ y = \frac{2}{3} x - \frac{7}{3} \\ 3y = 2x - 7 \\ 3y - 2x + 7 = 0\end{gathered}

y−y1=m(x−x1)

y+3=

3

2

(x+1)

y+3=

3

2

x+

3

2

y=

3

2

x+

3

2

−

3

9

y=

3

2

x−

3

7

3y=2x−7

3y−2x+7=0