Which equation describes the same line as y – 3 = –1(x + 5)?

a. y = –1x – 5
b. y = –1x – 2
c. y = –1x – 1
d. y = –1x + 8

y – 3 = –1(x + 5)

y - 3 = -x - 5

y = -x - 5 + 3

y = -x - 2

answer is B. y = –1x – 2

Option B is correct.

Step-by-step explanation:

The distributive property says that:

Given the equation of line:

Apply the distributive property we have;

Add 3 to both sides we have;

Simplify:

Therefore, an equation describes the same line as y – 3 = –1(x + 5) is,

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction