Answer:
[tex]m_1.m_2 = -1[/tex]
Step-by-step explanation:
Given
2 lines of same slope
A different perpendicular line
Required
Determine the relationship between the lines
We have that, line 1 and line 2 have the same slope;
Represent their slope with m₁
For the third line
Represent the slope with m₂
in coordinate geometry, the relationship between perpendicular line is
[tex]m_1.m_2 = -1[/tex]
Hence, the required relationship is [tex]m_1.m_2 = -1[/tex]
