Question

given the linear equation 2x+3y-8=0, write another linear equation in two variable such that the geometrical representation of the pair so formed
2) parallel line​

Answer 1

Answer:

Intersecting lines

Solution: For intersecting line, the linear equations should meet following condition:

a

2

a

1



=

b

2

b

1

For getting another equation to meet this criterion, multiply the coefficient of x with any number and multiply the coefficient of y with any other number. A possible equation can be as follows:

4x+9y−8=0

(b) Parallel lines

Solution: For parallel lines, the linear equations should meet following condition:

a

2

a

1

=

b

2

b

1



=

c

2

c

1

For getting another equation to meet this criterion, multiply the coefficients of x and y with the same number and multiply the constant term with any other number. A possible equation can be as follows:

4x+6y–24=0

(c) Coincident lines

Solution: For getting coincident lines, the equations should meet following condition;

a

2

a

1

=

b

2

b

1

=

c

2

c

1

For getting another equation to meet this criterion, multiply the whole equation with any number. A possible equation can be as follows:

4x+6y–16=0