Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y=-2x+4 -5x+10y=5 A:Parallel

Question

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=-2x+4
-5x+10y=5
A:Parallel
B:Perpendicular
C: Neither

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=(-1/5)x+6
-2x+10y=5
A:Parallel
B:Perpendicular
C:Neither
PLEASE HELP ASAP

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Amaya 3 days 2021-11-20T21:36:55+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-20T21:38:01+00:00

    y = -2x + 4

    -5x + 10y = 5

    10y = 5x + 5

    y = 5/10x + 5/10

    y = 1/2x + 1/2

    Perpendicular. Because the slope is a reciprocal of the first slope.

    y = (-1/5)x + 6

    -2x + 10y = 5

    10y = 2x + 5

    y = 2/10x + 5/10

    y = 1/5x + 1/2

    They have the same slope but their sign is opposite causing it to intersect each other with no other relation.

    Neither.

    0
    2021-11-20T21:38:35+00:00

    Answer:

    1) Perpendicular

    2) Neither

    Step-by-step explanation:

    Line 1: y = -2x + 4

    Line 2: -5x + 10y = 5

    10y = 5x + 5

    y = ½x + ½

    m1 = -2

    m2 = ½

    Since m1×m2 = -2 × ½ = -1

    (Perpendicular)

    Line 1: y= -⅕x + 6

    Line 2: -2x+10y=5

    10y = 2x + 5

    y = ⅕x + ½

    m1 = -⅕

    m2 = ⅕

    Since m1 and m2 are not equal, not parallel

    Since m1×m2 = -⅕×⅕ = -1/25 which is not -1, not Perpendicular

    So neither

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