Algebra (please help!)

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What is the slope of a line perpendicular to 2x + 4y = 5?

How would I figure this out? Thank you so much! :)

  • Algebra (please help!) -

    You are probably used to reading the slope from an equation in the form y = mx + b so let's change it to that

    2x + 4y = 5
    4y = -2x + 5
    y = (-2/4)x + 5/4
    so the slope of the given line is -1/2

    recall that slopes of perpendicular lines are "opposite reciprocals" of each other
    so the new line has slope +2

  • Thank you so much! One more question... -

    This is a different problem...

    Find the distance between A (0,1) and B (4,5).

    Is this like the slope?

  • Algebra (please help!) -

    the calculations might look similar, but the concept is much different.

    you should have seen the formula
    distance = √[(change in x's)^2 + (change in y's)^2]
    = √[(4-0)^2 + (5-1)^2]
    = √[16+16]
    = √32

    notice the same calculation as deltax and deltay ?

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