The equation of a line in point-slope form is given below:

y + 4 = 2(x + 1)

What is the equation of this line written in Standard Form?

A. -2x + y = -2

B. 2x – y = -2

C. -2x – y = -2

D. 2x + y = 2

The equation of a line in point-slope form is given below:

y + 4 = 2(x + 1)

What is the equation of this line written in Standard Form?

A. -2x + y = -2

B. 2x – y = -2

C. -2x – y = -2

D. 2x + y = 2

Answer:Step-by-step explanation:Given equation:Distributethe right side of the equation:Subtract2 from both sides:Subtracty from both sides:Please notethat this is not instandard form, since the coefficient of the term in x is negative. However, as the equation in strict standard form is not a given answer option, the only answer can be -2 + y = -2.We must translate the equation from y-y1=m(x-x1) to ax+by=c from.

Distribute the 2 into x and 1

y+4=2x+2

Combine like terms and move terms:

-2x+y=-4+2

Simplify:

-2x+y=-2

-2x+y=-2 is in standard form