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starrhunter

  • 2 years ago

What is the equation of the line that passes through the point (4, 1) and is perpendicular to the line y = –2x + 4?

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  1. Mertsj
    • 2 years ago
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    Do you know point-slope form of the equation of a line?

  2. starrhunter
    • 2 years ago
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    no i dont know any algebra im trying to help my sister finish her assignments. shes in the hospital. i dont need anyone to teach me anything i just dont want her to fail. any good answers anyone has is greatly appreciated

  3. Mertsj
    • 2 years ago
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    Sorry. It is contrary to the code of conduct to just post answers. Too many kids try to avoid learning that way.

  4. starrhunter
    • 2 years ago
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    could u show me how to work it out then? dont want anyone to get in trouble.

  5. Mertsj
    • 2 years ago
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    \[y-y _{1}=m(x-x _{1})\]

  6. AsianStudent_01
    • 2 years ago
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    First, determine the slope of the given line. x + 2y = 6 Solve for y to get this in slope-intercept form. Remember to switch signs when you switch sides. 2y = -x + 6 Divide all terms on both sides by 2. y = -0.5 x + 3 So the slope of the given line is the coefficient of x, which is -0.5 = -1/2 The slope of a perpendicular line is the negative reciprocal of that slope, which would be 2. Use the point-slope form to build the equation with the point (4,2) y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. y - 2 = 2(x - 4) This is an equation that satisfies the question. To get this into slope-intercept form, expand, simplify and solve for y. y = 2x - 8 + 2 y = 2x - 6

  7. Mertsj
    • 2 years ago
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    That is point-slope form. The given line has slope -2 so the perpendicular has slope 1/2 replace y1with 1, m with 1/2 and x1 with 4 and simplify. That will be the equation of the desired line.

  8. AsianStudent_01
    • 2 years ago
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    Yep, take it with a little grain of salt

  9. starrhunter
    • 2 years ago
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    so what do i have to simplify exactly?

  10. Keroro
    • 2 years ago
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    |dw:1338928449474:dw|

  11. Keroro
    • 2 years ago
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    and make y the subject of the formula

  12. Mertsj
    • 2 years ago
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    To simplify, distribute the 1/2 and then add 1 to both sides.

  13. starrhunter
    • 2 years ago
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    y = 1/2x- 1??

  14. Mertsj
    • 2 years ago
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    Very good!!

  15. Mertsj
    • 2 years ago
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    I knew you could do it.

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