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kayleigh98

  • one year ago

Write the equation of the line that goes through the point (−3, −5) and is parallel to the line −x + 3y = −0.5.

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  1. LynFran
    • one year ago
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    when 2 lines are parallel the have the same slope so -x+3y=-0.5 3y=x-0.5 y=1/3(x)- (0.5)/3 slope =1/3 now we use the given point (-3,-5) with the slope to find such equation...

  2. LynFran
    • one year ago
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    here the formula y=mx+b where y=-5 , x=-3 and m=1/3 subs those values to find b...its y intercept then....

  3. kayleigh98
    • one year ago
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    b=-6?

  4. LynFran
    • one year ago
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    -5=1/3(-3)+b -5=-1+b -5+1=b 1-5=b

  5. kayleigh98
    • one year ago
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    -4?

  6. LynFran
    • one year ago
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    yep

  7. LynFran
    • one year ago
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    so y=mx+b we now sub our "m" and "b" into the formula

  8. LynFran
    • one year ago
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    so our parallel equation is??

  9. kayleigh98
    • one year ago
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    y=1/3x-4

  10. LynFran
    • one year ago
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    y=1/3(x)-4 can also be written as 3y=x-12 3y-x=-12 yep

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