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ineedyouubiebs

  • one year ago

Write an equation for a line parallel to x+15=-5y passing through (0,4)

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  1. mathstudent55
    • one year ago
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    Parallel lines have the same slope, First, you need to find the slope of the given line, then use that slope for the new line. To find the slope of the given line, solve x + 15 = -5y for y. Then put it in slope-intercept form, which is y = mx + b. m is the slope. Second, the equation of a line with slope m that passes through point (x1, y1) is y - y1 = m(x - x1) Try it, and ask for help if you need it.

  2. ineedyouubiebs
    • one year ago
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    Thanks,I need help putting x=15=-5y into slope intercept form

  3. mathstudent55
    • one year ago
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    First, switch the sides, so you start with -5y on the left side.

  4. mathstudent55
    • one year ago
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    Next, the only thing happening to the y is that it is being multiplied by -5. How do you undo a multiplication?

  5. whpalmer4
    • one year ago
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    \[x+15 = -5y\]Divide both sides by -5 to give\[-\frac{x}{5} -3 = y\]Now switch the sides.

  6. ineedyouubiebs
    • one year ago
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    Umm I think that by dividing?? So will that mean that I'm dividing 15 by -5y??

  7. mathstudent55
    • one year ago
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    Correct, divide both sides by -5

  8. ineedyouubiebs
    • one year ago
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    So then what will happen next to the x??

  9. mathstudent55
    • one year ago
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    -5y = x + 15 Divide -5y by -5 Divide x by -5 Divide 15 by -5

  10. ineedyouubiebs
    • one year ago
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    OK I got -5-3=y ..?..?..?

  11. ineedyouubiebs
    • one year ago
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    wait wait! I checked it and it actually its suppose to be y=-1/5-3

  12. mathstudent55
    • one year ago
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    -5y/(-5) = x/(-5) + 15/(-5) y = -(1/5)x - 3

  13. mathstudent55
    • one year ago
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    Remember to include the x on the right side.

  14. ineedyouubiebs
    • one year ago
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    YESSSSSSS!!!!!

  15. mathstudent55
    • one year ago
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    Since the original equation is now written in slope-intercept form, y = mx + b, you can read the slope directly. It's the number multiplying x, which is m. m = ?

  16. ineedyouubiebs
    • one year ago
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    m=4 so then that will mean that the final answer will be y=-1/5x+4 xD

  17. mathstudent55
    • one year ago
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    Where did you get a 4 from y = -(1/5)x - 3?

  18. mathstudent55
    • one year ago
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    Remember, the slope-intercept form is y = mx + b, where m, the number multiplying x, is the slope.

  19. ineedyouubiebs
    • one year ago
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    ohh ok then my bad

  20. mathstudent55
    • one year ago
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    |dw:1359263289699:dw|

  21. mathstudent55
    • one year ago
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    |dw:1359263320161:dw|

  22. mathstudent55
    • one year ago
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    What is m, the slope?

  23. ineedyouubiebs
    • one year ago
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    -1/5

  24. mathstudent55
    • one year ago
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    Correct. Now you know the given line has a slope of -1/5. The line that is parallel to it also has that slope becasue parallel lines have equal slopes. Now we start on the second part of this problem. What is the equation of the line that has slope -1/5 and passes through (0, 4)?

  25. ineedyouubiebs
    • one year ago
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    4=-1/5(0)+b which will then turn into 4=0+b

  26. mathstudent55
    • one year ago
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    In the slope-intercept form of the equation of a line, y = mx + b, m = slope (you already know this) b = the y-intercept Correct. b = 4, since the point you were given, (0, 4) is on the y-axis, so that is the y-intercept.

  27. ineedyouubiebs
    • one year ago
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    Then I will do inverse operation and subtract 0 from both sides making it be 4=b

  28. mathstudent55
    • one year ago
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    Now you know your new equation has m = -1/5 and b = 4. All you need to do is write y = mx + b and replace m with -1/5 and b with 4

  29. mathstudent55
    • one year ago
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    Correct, b = 4

  30. ineedyouubiebs
    • one year ago
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    and it will end up being y=-1/5x+4

  31. mathstudent55
    • one year ago
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    You are correct. Great work!

  32. ineedyouubiebs
    • one year ago
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    OMG thank you so much your the best!!=D will you mind helping me with another type of problem.I have a quiz on Wednesday and I'm practicing right now.

  33. mathstudent55
    • one year ago
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    I certainly will help. Just pls start a new post.

  34. ineedyouubiebs
    • one year ago
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    OK then (:

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