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13 December, 22:48

Is perpendicular to? Explain.

Yes, because the slope of is and the slope of is.

Yes, because the slope of is and the slope of is.

No, because the slope of is and the slope of is.

No, because the slope of is and the slope of is.

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  1. 14 December, 00:36
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    Two lines are perpendicular if and only if the product of their slopes is - 1.

    So, you just need to find the slope of each line and find out the product of their slopes.

    I will do one example for you.

    L1: y = 3x + 5

    L2: y = - 3x + 14

    L3: y = - x/3 + 14

    The slope of a line is the coefficient of the x.

    So the slopes are:

    L1: slope 3

    L2: slope - 3

    L3: slope - 1/3

    So now multiply the slopes of each pair of lines:

    L1 and L2: 3 * (-3) = - 9 = > No, they are not perpendicular

    L2 and L3: (-3) * (-1/3) = 1 = > No, they are not perpendicular

    L1 and L3: (3) * (-1/3) = - 1 = > Yes, they are penpendicular.
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