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  1. What is the equation of line parallel to 2x + 3y + 4 = 0 and passing through the point (– 4, –5) ?
    1. 2 x + 5y – 23 = 0
    2. –x + 5y = 20
    3. 2x – 3y – 30 = 0
    4. 2x + 3y + 23 = 0
Correct Option: D

Let the slope of required line be m.
Also,

m1 =
- 2
3

m1 = m2
(∵ lines are parallel) a
m =
- 2
3

Equation of line be y – y1 = m(x – x1)
⇒ (y + 5) =
- 2
(x + 4)
3

3y + 15 = –2x – 8
2x + 3y + 23 = 0



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