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 perpendi

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?

in progress 0
Thông Đạt 4 years 2021-08-23T23:31:07+00:00 1 Answers 12 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-23T23:32:51+00:00
    Reply

    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’

                    = \frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{9-15}{10-3} = \frac{-6}{7}

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

    The slope of the line ‘n’

                 = \frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{3-9}{9-2} = \frac{-6}{7}

    The slope of line ‘m’ = The slope of  line ‘n’

    Both slopes of the lines are equal

    ∴ The two lines are parallel

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )