Question

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

Answer 1

y – 3 = –1(x + 5)

y - 3 = -x - 5

y = -x - 5 + 3

y = -x - 2

answer is B. y = –1x – 2

Answer 2

Option B is correct.

`y= -1x-2`

Explanation:

The distributive property says that:

`a \cdot (b+c) = a\cdot b+ a\cdot c`

Given the equation of line:

`y-3 = -1(x+5)`

Apply the distributive property we have;

`y-3 = -1x-5`

Add 3 to both sides we have;

`y-3+3= -1x-5+3`

Simplify:

`y= -1x-2`

Therefore, an equation describes the same line as y – 3 = –1(x + 5) is,
`y= -1x-2`