Question

Line m passes through points (3, 15) and (10, 9). Line n passes through points (2, 9) and (9, 3). Are line m and line n parallel or perpendicular?

Answer 1

The two lines 'm' and 'n' are parallel

Explanation:

Explanation

Given that the line 'm' points (3,15) and (10,9)

The slope of the line 'm'

=
`(y_(2) - y_(1) )/(x_(2)-x_(1) ) = (9-15)/(10-3) = (-6)/(7)`

Given that the line 'n' points (2,9) and (9,3)

The slope of the line 'n'

=
`(y_(2) - y_(1) )/(x_(2)-x_(1) ) = (3-9)/(9-2) = (-6)/(7)`

The slope of line 'm' = The slope of line 'n'

Both slopes of the lines are equal

∴ The two lines are parallel