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kcbrosell

find an equation for the line with the given properties Question: Perpendicular to the line x − 2y = −5; containing the point (0, 4)

  • 2 years ago
  • 2 years ago

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  1. myininaya
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    so put that equation in this form: y=mx+b

    • 2 years ago
  2. myininaya
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    so we can find the slope of the perpendicular line after we do that

    • 2 years ago
  3. myininaya
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    Do you need help putting in that form?

    • 2 years ago
  4. MrYantho
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    1. Convert equation to y=mx+b, to find slope 2. Our second slope is the negative reciprocal of the given line's slope 3. Substitute the new slope, and the values of x and y into y=mx+b to solve for b (the y-int)

    • 2 years ago
  5. kcbrosell
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    I am not understanding

    • 2 years ago
  6. myininaya
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    Do you know how to write the equation given in this form: y=mx+b?

    • 2 years ago
  7. kcbrosell
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    no i do not

    • 2 years ago
  8. myininaya
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    You are just trying to solve for y: \[x-2y=-5\] \[\text{ add } 2y \text{ on both sides }\] \[x-2y+2y=-5+2y\] \[x=-5+2y\] Now add 5 on both sides \[x+5=2y\] Now divide both sides by 2 \[\frac{x+5}{2}=y =>y=\frac{x}{2}+\frac{5}{2} =>\frac{1}{2}x+\frac{5}{2}\] so what is the slope here?

    • 2 years ago
  9. kcbrosell
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    1/5=5 & 2/2=1, is that right

    • 2 years ago
  10. myininaya
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    y=mx+b where is m is slope so what is in front of x up there? 1/2 right? so what is the slope of a perpendicular line to this one? in other words what satisfies this equation 1/2 * ? = -1

    • 2 years ago
  11. kcbrosell
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    -1/2

    • 2 years ago
  12. myininaya
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    close -2 would be the slope of the perpendicular line

    • 2 years ago
  13. myininaya
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    so we have all lines are in this form y=mx+b => this line has this form: y=-2x+b

    • 2 years ago
  14. myininaya
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    now we know a point on the line (0,4)

    • 2 years ago
  15. myininaya
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    where x=0 and y=4 so we have enough info to find b replace x with 0 and y with 4 4=-2(0)+b how do you solve this for b?

    • 2 years ago
  16. kcbrosell
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    wouldnt you multiply each side by -4

    • 2 years ago
  17. myininaya
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    4=0+b since -2(0)=0 4=b since 0+b=b

    • 2 years ago
  18. myininaya
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    so the equation us y=-2x+4

    • 2 years ago
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