Write y + 1 = - 2x - 3 in standard form. A. - 2x-y = 4 B. x + 1/2y = - 2 C. y = - 2x-4 D. 2x + y = - 4

D. 2x + y = - 4

Step-by-step explanation:

Standard form for the equation of a line is Ax + By = C where A is a positive integer and B and C are integers

y + 1 = - 2x - 3

Add 2x to each side

2x+y + 1 = - 2x+2x - 3

2x+y + 1 = - 3

Subtract 1 from each side

2x+y + 1-1 = - 3-1

2x+y = - 4

y=-2x-4

Step-by-step explanation:

There are many standard form of any equations. One of them is called the

y intercept form. The standard form is

y=mx+c

where m is the slope and c is the y intercept

Let us see our given equation

y+1 = - 2x - 3

subtracting 1 from both sides we get

y = - 2x - 3 - 1

y = - 2x - 4

Here if we compare it with the standard equation we get

m = - 2 and c = - 4