Respuesta :

y – 3 = –1(x + 5)

y - 3 = -x - 5

y = -x - 5 + 3

y = -x - 2

answer is B. y = –1x – 2

Answer:

Option B is correct.

[tex]y= -1x-2[/tex]

Step-by-step explanation:

The distributive property says that:

[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

Given the equation of line:

[tex]y-3 = -1(x+5)[/tex]

Apply the distributive property we have;

[tex]y-3 = -1x-5[/tex]

Add 3 to both sides we have;

[tex]y-3+3= -1x-5+3[/tex]

Simplify:

[tex]y= -1x-2[/tex]

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