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14 June, 09:41

tell whether the lines for each pair of equations are parallel perpendicular or neither y=-1/5x+6 - 2x+10y=5

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  1. 14 June, 09:44
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    For lines to be parallel, their slopes have to be the SAME.

    For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

    For example:

    slope is 2

    perpendicular line's slope is - 1/2

    slope is - 2/3

    perpendicular line's slope is 3/2

    y = mx + b

    "m" is the slope

    y = - 1/5x + 6 The slope is - 1/5

    -2x + 10y = 5 Isolate "y", add 2x on both sides

    10y = 5 + 2x Divide 10 on both sides

    y = 1/2 + 1/5x The slope is 1/5

    The lines are neither parallel or perpendicular, this is because the slopes are not the same, and the slopes are not negative reciprocals of each other.
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