Respuesta :

gmany

Answer:

y = -3x + b, where b ≠ -5

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line c:

[tex]c:y=-3x-5\to m=-3,\ b=-5[/tex]

Therefore the equation of a line d parallel to a line c is:

[tex]d=y=-3x+b[/tex]

The lines c and d are different. Therefore y-intercepts must be different

(b ≠ -5).