Question

maths class ...plzzz solve it in step by step process

Answer 1

if a line is parallel to another line...then coefficients of x and y are same but constant terms are different...

For example : Suppose we have a line having equation 2x + 3y = 5 then we can write many equations of line which is parallel to given line just by changing the constant term only...

So equation of line parallel to given line is
2x + 3y = 7
2x + 3y = 11
2x + 3y = -2 and so on...

Hence equation of a line which is parallel to the line 4x + 3y = 14 is 4x + 3y = 15 ( take any Real number )

Answer 2

Hi ,
Equation of a line ax + by + c = 0 
parallel to given 
line is ax + by + k = 0
here k is any real number.
Therefore ,
Required parallel line is 4x + 3y = k
Example : 4x + 3y = 5 ,
4x + 3y = - 7
I hope this helps you.
:)