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30 May, 09:23

Are the lines 2y-10x=4 and y-2=5x parallel?

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Answers (2)
  1. 30 May, 11:22
    0
    First line y = (4+10x) / 2=5x+2

    Second line : y=5x+2

    We see that the two have the same leading coefficient (5) hence they are parallel.
  2. 30 May, 12:01
    0
    Well,

    If the slope of the lines are the same, then the lines are parralel.

    We need to manipulate 2y - 10x = 4 into y = mx + b form.

    Add 10x to both sides

    2y = 10x + 4

    Divide both sides by 2

    y = 5x + 2

    Do the same thing with the other equation.

    Add 2 to both sides

    y = 5x + 2

    y = 5x + 2

    It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!
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