Question

Given two lines, 1 and 2, with equal slopes and a line that is perpendicular to one of these two lines, 1. What is the relationship between line and the other line, 2?

Answer 1

`m_1.m_2 = -1`

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

`m_1.m_2 = -1`

Hence, the required relationship is
`m_1.m_2 = -1`