Answer:
The two lines 'm' and 'n' are parallel
Step-by-step explanation:
Explanation
Given that the line 'm' points (3,15) and (10,9)
The slope of the line 'm'
= [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{9-15}{10-3} = \frac{-6}{7}[/tex]
Given that the line 'n' points (2,9) and (9,3)
The slope of the line 'n'
= [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{3-9}{9-2} = \frac{-6}{7}[/tex]
The slope of line 'm' = The slope of line 'n'
Both slopes of the lines are equal
∴ The two lines are parallel
