Question

Which shows the equation y – 4 = 2(x + 3) written in standard form? A. –2x + y = 10 B. –2x + y = 7 C. y = 2x + 7 D. y = 2x + 10

Answer 1

A.
`-2x+y=10`

Explanation:

Given:

The equation of a line is given as:

`y-4=2(x+3)`

The standard form of an equation of a line is of the form:

`Ax+By=C`, where, A, B and C are constants.

Now, we have to rearrange the above equation in standard form.

`y-4=2(x+3)`

Distribute 2 to
`x+3`. This gives,

`y-4=2x+6`

Add 4 on both sides. This gives,

`y-4+4=2x+6+4\\y=2x+10`

Now, add -2x on both sides. This gives,

`y-2x=2x-2x+10\\y-2x=10`

Now, rearrange in standard form. This gives,

`-2x+y=10`

Therefore, the standard form is given as
`-2x+y=10`