Question

write any one equation of the line which is parallel to 2x+3y-8=0​

Answer 1

Answer:

For parallel lines m is same.

Step-by-step explanation:

2x+3y-8=0

y=8/3 -2/3x

on comparison with y=mx + c

m = -2/3

So equation of any parallel lines is y = -2/3x + c

where c is constant.

eg.- -2/3 x +1

-2/3x +2

-2/3x+3

Answer 2

Step-by-step explanation:

Given:

2x+3y-8=0

To find:write any one equation of the line which is parallel to given line.

Solution:

If two lines

$a_1x + b_1y + c_1 = 0 \\ a_2x + b_2y + c_2 = 0$

are parallel,then

$\boxed{\bold{\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} }}$

So,

Equation of line which is parallel to the given line may be

4x+6y+5=0

Many lines can be written like that, for eg

6x+9y-15=0

8x+12y-1=0

10x+15y+17=0

Hope it helps you.

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