Indicate the relationship between the line: 2x – 5y = 10 , and the line: 10x + 4y = 20 Which of the 3 is correct Parallel

Question

Indicate the relationship between the line: 2x – 5y = 10 , and the line: 10x + 4y = 20
Which of the 3 is correct

Parallel
Perpendicular
They intersect at an angle other than 90 degrees

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Nho 4 years 2021-08-07T18:39:00+00:00 1 Answers 12 views 0

Answers ( )

  1. niczorrrr
    0
    2021-08-07T18:40:31+00:00
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    Answer:

    Perpendicular

    Step-by-step explanation:

    Here, we want to know the relationship between the two lines .

    The easiest way to go about this is to get their slopes;

    Mathematically, the equation of a straight line can be expressed in the form;

    y = mx + c

    where m is the slope;

    Hence;

    2x -5y = 10

    Isolating the y part

    5y = 2x -10

    divide through by 5

    y = 2/5x – 2

    So the slope here is 2/5

    for the second line

    10x + 4y = 20

    Divide by 2 all through

    5x + 2y = 10

    Isolate y

    2y = 10-5x

    Divide by 2 again

    y = 5 -5/2x

    The slope here is -5/2

    What do we notice? we can see that if we multiply the two slopes by each other, we get -1

    That is;

    2/5 * -5/2 = -1

    What this means is that both lines are perpendicular.

    This is because the slopes of perpendicular lines, when multiplied by each other = -1

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