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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

What is the equation of the following line written in general form The yintercept is 1 2x y 1 0 2x y 1 0 2x y 1 0 class=

Respuesta :

MrGumby

Answer:

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

Step-by-step 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:

Option 3 - [tex]2x-y-1=0[/tex]

Step-by-step 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) [tex]2x+y-1=0[/tex]

Put x=1 and y=1,

[tex]2(1)+(1)-1=0[/tex]

[tex]2\neq 0[/tex]

Not satisfied.

2) [tex]-2x-y-1=0[/tex]

Put x=1 and y=1,

[tex]-2(1)-(1)-1=0[/tex]

[tex]-4\neq 0[/tex]

Not satisfied.

3) [tex]2x-y-1=0[/tex]

Put x=1 and y=1,

[tex]2(1)-(1)-1=0[/tex]

[tex]0=0[/tex]

Satisfied.

Therefore, the required equation is [tex]2x-y-1=0[/tex]

So, Option 3 is correct.