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

Answer:

A. $-2x+y=10$

Step-by-step 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 $-2x+y=10$