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anonymous

  • one year ago

Tabitha is trying to find the equation of a line perpendicular to y = 1 over 2x − 5 in slope-intercept form that passes through the point (2, −7). Which of the following equations will she use?

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  1. anonymous
    • one year ago
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    a) y − (−7) = 1 over 2(x − 2) b) y − 2 = 1 over 2(x − (−7)) c) y − (−7) = −2(x − 2) d) y − 2 = −2(x − (−7))

  2. anonymous
    • one year ago
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    @satellite73

  3. anonymous
    • one year ago
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    you been at this one for a while huh?

  4. anonymous
    • one year ago
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    yes! can't seem to figure it out :(

  5. anonymous
    • one year ago
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    ok lets go slow (but not that slow) the slope of \[y=\color{red}{\frac{1}{2}}x-5\] is ?

  6. anonymous
    • one year ago
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    hint: it is red

  7. anonymous
    • one year ago
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    1/2

  8. anonymous
    • one year ago
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    right and the perpendicular line with have a slope that is the "negative reciprocal" i.e. flip it and change the sign

  9. anonymous
    • one year ago
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    2/1?

  10. anonymous
    • one year ago
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    -2/1*

  11. anonymous
    • one year ago
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    right, which, on planet earth, we usually just call \(-2\)

  12. anonymous
    • one year ago
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    haha right

  13. anonymous
    • one year ago
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    now we got the slope the point is \((2,-7)\) and they want you to plug all this in to the "point - slope" formula \[y-y_1=m(x-x_1)\]

  14. anonymous
    • one year ago
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    where you see \(y_1\) put \(-7\) where you see \(m\) put \(-2\) and where you see \(x_1\) put \(2\)

  15. anonymous
    • one year ago
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    so would it be c?

  16. anonymous
    • one year ago
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    yes, it is always C how hard was that? ok?

  17. anonymous
    • one year ago
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    thank you so much!

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