Question

Write the following equation in the general form Ax + By + C = 0.

y - x - 1 = 0

-2x + 3y - 6 = 0
2x - 3y + 6 = 0
2x - 3y - 6 = 0

Answer 1

Answer

We know that general form of linear equation in two variable is : ax + by + c = 0.

Here we need to convert the same, without changing the original value.

i ) y - x - 1 = 0

It can be written as :

⇰ x - y + 1 = 0

Or,

⇰ (1)x + (-1)y + 1 = 0

Here , a = 1 , b = -1 , c = 1

ii) -2x + 3y - 6 = 0

It can be rewritten as:

⇰ 2x - 3y + 6 = 0

Or,

⇰ (2)x + (-3)y + 6 = 0

Here, a = 2 , b = -3 , c = 6

iii) 2x - 3y + 6 = 0

It can be rewritten as:

⇰ (2)x + (- 3)y + 6 = 0

Here, a = 2 , b = -3 , c = 6

iv) 2x - 3y - 6 = 0

It can be rewritten as:

⇰ -2x + 3y + 6 = 0

Or,

⇰ (-2)x + (3)y + 6 = 0

Here, a = -2 , b = 3 , c = 6