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27 March, 03:30

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.

6x + 2y = 12

-3x + y = 8

3y = 9x

y = - x

+5
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  1. 27 March, 03:51
    0
    The slope-intercept form of the equation of a straight line:

    y=mx+b

    m=slope

    Therefore; in this equation (y=3x+5); m=3

    a)

    6x+2y=12

    2y=-6x+12

    y=-6/2 x + 12/2

    y=-3x+6 ⇒ m=-3≠3 (this line is not parallel to "y=3x+5")

    b)

    -3x+y=8

    y=3x+8 ⇒ m=3 (this line es parallel to "y=3x+5")

    c)

    3y=9x

    y=9/3 x

    y=3x ⇒ m=3 (this line is parallel to "y=3x+5")

    d)

    y=-x ⇒ m=-1≠3 (this line is not parallet to "y=3x+5")

    Therefore; "-3x+y=8" and "3y=9x" are parallel to "y=3x+5".
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