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ineedyouubiebs

  • 2 years ago

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

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  1. mathstudent55
    • 2 years 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
    • 2 years ago
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    Thanks,I need help putting x=15=-5y into slope intercept form

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

  4. mathstudent55
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    Umm I think that by dividing?? So will that mean that I'm dividing 15 by -5y??

  7. mathstudent55
    • 2 years ago
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    Correct, divide both sides by -5

  8. ineedyouubiebs
    • 2 years ago
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    So then what will happen next to the x??

  9. mathstudent55
    • 2 years ago
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    -5y = x + 15 Divide -5y by -5 Divide x by -5 Divide 15 by -5

  10. ineedyouubiebs
    • 2 years ago
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    OK I got -5-3=y ..?..?..?

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

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

  13. mathstudent55
    • 2 years ago
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    Remember to include the x on the right side.

  14. ineedyouubiebs
    • 2 years ago
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    YESSSSSSS!!!!!

  15. mathstudent55
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    Where did you get a 4 from y = -(1/5)x - 3?

  18. mathstudent55
    • 2 years 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
    • 2 years ago
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    ohh ok then my bad

  20. mathstudent55
    • 2 years ago
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    |dw:1359263289699:dw|

  21. mathstudent55
    • 2 years ago
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    |dw:1359263320161:dw|

  22. mathstudent55
    • 2 years ago
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    What is m, the slope?

  23. ineedyouubiebs
    • 2 years ago
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    -1/5

  24. mathstudent55
    • 2 years 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
    • 2 years ago
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    4=-1/5(0)+b which will then turn into 4=0+b

  26. mathstudent55
    • 2 years 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
    • 2 years ago
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    Then I will do inverse operation and subtract 0 from both sides making it be 4=b

  28. mathstudent55
    • 2 years 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
    • 2 years ago
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    Correct, b = 4

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

  31. mathstudent55
    • 2 years ago
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    You are correct. Great work!

  32. ineedyouubiebs
    • 2 years 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
    • 2 years ago
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    I certainly will help. Just pls start a new post.

  34. ineedyouubiebs
    • 2 years ago
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    OK then (:

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