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anonymous

  • one year ago

Find the equation of the line that is perpendicular to the graph of y=1/2x + 9 and passes through (8,-5)

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  1. anonymous
    • one year ago
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    Hi --- I can help you with this. First of all, can you tell me what the slope of your line is? \[y = \frac 12x + 9\]

  2. anonymous
    • one year ago
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    slope is 1/2

  3. anonymous
    • one year ago
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    Good! Now, can you tell me what the slope of a *perpendicular* line would be?

  4. anonymous
    • one year ago
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    would it be the reciprocal?

  5. anonymous
    • one year ago
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    Close. The *negative reciprocal". For example, a line of slope 5 would have perpendicular slope -1/5. As a second example, a line of slope -1/3 would have slope 3. So ... what's the slope of your perpendicular line?

  6. anonymous
    • one year ago
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    You need to "flip" AND change the sign ...

  7. anonymous
    • one year ago
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    -2?

  8. anonymous
    • one year ago
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    Good! So now, you want the line with slope -2 that passes through the point (8,-5) . (If you've heard of point-slope form, that would be great to use right now! Or, you can certainly do it different ways...)

  9. anonymous
    • one year ago
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    I got y = -2x + 11

  10. anonymous
    • one year ago
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    That's what I got, too! Awesome!

  11. anonymous
    • one year ago
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    Thank you!!! Really helped!

  12. anonymous
    • one year ago
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    You're welcome! Have a great day...

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