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anonymous

  • one year ago

Will medal and fan! Use the point slope form, write an equation for the line perpendicular to the line y = -2(x - 5) containing the point (3,4).

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  1. anonymous
    • one year ago
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    Point slope form: \[y-y _{1}=m(x-x _{1})\]

  2. jdoe0001
    • one year ago
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    any ideas on what the slope of \(\bf y = -2(x - 5)\) is?

  3. anonymous
    • one year ago
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    -2 is the slope right?

  4. anonymous
    • one year ago
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    @jdoe0001

  5. Nnesha
    • one year ago
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    yep that's right :

  6. anonymous
    • one year ago
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    So what's the next step?

  7. Nnesha
    • one year ago
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    perpendicular slopes are negative reciprocal if slope of first equation is a/b then slope of perpendicular line would be negative b/a

  8. anonymous
    • one year ago
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    So it would be -1/2?

  9. Nnesha
    • one year ago
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    hmm no.

  10. jdoe0001
    • one year ago
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    slope is -2/ a perpendicular line to that one, as Nnesha said, would have a NEGATIVE RECIPROCAL SLOPE, or \(\bf slope=-2\qquad negative\implies +2\qquad reciprocal\implies +\cfrac{1}{2}\)

  11. Nnesha
    • one year ago
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    ^

  12. anonymous
    • one year ago
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    Oh positive 1/2! whoops

  13. anonymous
    • one year ago
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    So once I find that then what?

  14. jdoe0001
    • one year ago
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    so, you're really looking for the equation of a line that has a slope of 1/2 and passes through (3,4) \(\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}=\cfrac{1}{2} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}\)

  15. anonymous
    • one year ago
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    So that would equal y - 4 = 1/2x - 3/2

  16. anonymous
    • one year ago
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    y = 1/2x +5/2 would be the answer right?

  17. jdoe0001
    • one year ago
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    yeap

  18. anonymous
    • one year ago
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    That's the answer? Sorry I wasn't sure which reply you were saying yes to.

  19. anonymous
    • one year ago
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    @jdoe0001

  20. anonymous
    • one year ago
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    Okay thanks!

  21. jdoe0001
    • one year ago
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    even more typos

  22. jdoe0001
    • one year ago
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    \(\bf y-4=\cfrac{1}{2}(x-3)\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+4\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{8}{2} \\ \quad \\y=\cfrac{1}{2}x+\cfrac{5}{2}\)

  23. anonymous
    • one year ago
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    Lol it's okay. I got it! :)

  24. jdoe0001
    • one year ago
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    :)

  25. Nnesha
    • one year ago
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    o^_^o

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