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anonymous

  • 3 years ago

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

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  1. anonymous
    • 3 years ago
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    first put equation into y=mx+b then use point slope form y-y1=m(x-x1) m=slope

  2. anonymous
    • 3 years ago
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    0=x1 4=y1

  3. anonymous
    • 3 years ago
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    then the expression will look like y-4+m(x-0)

  4. anonymous
    • 3 years ago
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    @twinkieexpress ?

  5. anonymous
    • 3 years ago
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    slope will be -1/5 as it is parallel to the rrquired eqn.so slopes of oth equations wll be same.

  6. anonymous
    • 3 years ago
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    u r given a point (0,4) this will be x1 and y1 in the eqn, (y-y1)=slope(x-x1) put the values and try it

  7. anonymous
    • 3 years ago
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    How did you figured out the slope was -1/5?

  8. anonymous
    • 3 years ago
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    First substitute the value to make y positive: y=-0.2x-3 then use the gradient equation: (y-y1)=m(x-x1) where m is the slope and the point is (x1,y1) and you will get this: y-4=-0.2(x-0) and after simplifying you get: y=-0.2x+4

  9. anonymous
    • 3 years ago
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    because the slope on the x value is -1/5 when the coefficient of y is 1

  10. anonymous
    • 3 years ago
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    @jim_thompson5910 ?

  11. jim_thompson5910
    • 3 years ago
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    what's the slope of x+15=-5y

  12. anonymous
    • 3 years ago
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    1

  13. jim_thompson5910
    • 3 years ago
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    you need to get the equation into y = mx+b form first

  14. anonymous
    • 3 years ago
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    is it y=1/5x+15

  15. jim_thompson5910
    • 3 years ago
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    close, but no

  16. anonymous
    • 3 years ago
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    umm can you help me with it, y intercept form was a sucky thing for me

  17. jim_thompson5910
    • 3 years ago
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    start with x+15=-5y and divide both sides by -5 to isolate y

  18. jim_thompson5910
    • 3 years ago
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    what you have is close, but it's a bit off

  19. anonymous
    • 3 years ago
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    umm 7=x-3

  20. jim_thompson5910
    • 3 years ago
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    hmm how are you getting that?

  21. anonymous
    • 3 years ago
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    umm im trying to divide andthen divide both sides by -5

  22. jim_thompson5910
    • 3 years ago
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    another way to think about it: divide every term by -5 to isolate y

  23. anonymous
    • 3 years ago
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    -1/5-3=y

  24. jim_thompson5910
    • 3 years ago
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    getting closer

  25. anonymous
    • 3 years ago
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    ugh

  26. jim_thompson5910
    • 3 years ago
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    you lost x

  27. anonymous
    • 3 years ago
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    y=1/5x-3

  28. jim_thompson5910
    • 3 years ago
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    it should be -1/5x - 3 = y

  29. jim_thompson5910
    • 3 years ago
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    much better

  30. jim_thompson5910
    • 3 years ago
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    oh sry

  31. jim_thompson5910
    • 3 years ago
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    it should be y = -1/5x - 3 but you pretty much have it (ignoring the typo)

  32. anonymous
    • 3 years ago
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    and whats my next step?

  33. jim_thompson5910
    • 3 years ago
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    so what is the slope of y = -1/5x - 3

  34. anonymous
    • 3 years ago
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    -1/5

  35. jim_thompson5910
    • 3 years ago
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    so the slope of any parallel line to this one is also -1/5

  36. jim_thompson5910
    • 3 years ago
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    since parallel lines have equal slopes

  37. jim_thompson5910
    • 3 years ago
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    the given point is (0,4) so x = 0 and y = 4 -------------------- we know that m = -1/5, x = 0, y = 4 plug these 3 pieces of info into y = mx + b and solve for b

  38. anonymous
    • 3 years ago
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    y=1/5x+4

  39. jim_thompson5910
    • 3 years ago
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    the slope is negative, so it should be y = -1/5x + 4

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