2. Two lines are represented by equations: 2x + 4y = 21 and y = kx – 12. What value of k will make lines parallel?

Question

2. Two lines are represented by equations: 2x + 4y = 21 and y = kx – 12. What value of k will
make lines parallel?

in progress 0
Khánh Gia 6 months 2021-07-19T00:26:01+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-07-19T00:27:08+00:00

    Answer:

    -1/2

    Step-by-step explanation:

    – arrange the equation in the y=mx+b form

    2x + 4y =21, subtract 2x from both sides of the equation

    4y= -2x +21 , divide both sides by 4

    y= -1/2x +21/4

    -compare the slopes m of the 2 equations

    y= kx -12, has the slope k

    y= -1/2x +21/4, has the slope -1/2

    – If the lines are parallel then they have the same slope

    Therefore, k= -1/2

Leave an answer

Browse

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