Question

What is the equation of the following line written in general form? (The y-intercept is -1.)

2x + y - 1 = 0

-2x - y - 1 = 0

2x - y - 1 = 0

Answer 1

The correct answer is 2x - y - 1 = 0

Explanation:

To find this, use the ordered pair (1, 1) in any of the equations. If it results in a true statement then this can be an equation.

2x - y - 1 = 0

2(1) - (1) - 1 = 0

2 - 1 - 1 = 0

0 = 0 (TRUE STATEMENT)

Answer 2

Option 3 -
`2x-y-1=0`

Explanation:

To find : What is the equation of the following line written in general form?

Solution :

According to graph line passes through point (1,1).

The equation which satisfy the point is the required equation,

1)
`2x+y-1=0`

Put x=1 and y=1,

`2(1)+(1)-1=0`

`2\\eq 0`

Not satisfied.

2)
`-2x-y-1=0`

Put x=1 and y=1,

`-2(1)-(1)-1=0`

`-4\\eq 0`

Not satisfied.

3)
`2x-y-1=0`

Put x=1 and y=1,

`2(1)-(1)-1=0`

`0=0`

Satisfied.

Therefore, the required equation is
`2x-y-1=0`

So, Option 3 is correct.