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).
