Answer:
Parallel
Step-by-step explanation:
Given
[tex]y = 4x + 5[/tex]
[tex]y = 4x - 7[/tex]
Required
Determine the relationship
Both lines are parallel. This is so, because they have the same slope.
The equation of a line is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
For [tex]y = 4x + 5[/tex]
[tex]m_1= 4[/tex]
For [tex]y = 4x - 7[/tex]
[tex]m_2 = 4[/tex]
By comparison:
[tex]m_1 = m_2 = 4[/tex]
Since both slopes are the same, then the lines are parallel
