anonymous
  • anonymous
REALLY NEED HELP!!! :) Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to line AB ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
5x – 3y = 0 -x + 3y = 0 -5x – 3y = 0 3x + 5y = 0 -3x + 5y = 0
anonymous
  • anonymous
I really have no clue how to do this :((((
misty1212
  • misty1212
HI!!

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misty1212
  • misty1212
they are asking you for the slope of the line or at least you need that first
anonymous
  • anonymous
Can you walk me through i'm completely lost
misty1212
  • misty1212
you know the slope of the line between (-3, 0) and (-6, 5) ?
misty1212
  • misty1212
if you do not, i can show you how to find it
anonymous
  • anonymous
yes please help me find it
misty1212
  • misty1212
first we think, then we do it the math teacher way
misty1212
  • misty1212
from -6 to -3 is right 3 units from 5 to 0 is down 5 units right 3, down 5, slope is \(-\frac{5}{3}\)
misty1212
  • misty1212
now the math teacher way \[\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{-6-(-3)}=\frac{5}{-3}=-\frac{5}{3}\]
anonymous
  • anonymous
Okay so how is finding the slope going to give me the answer?
misty1212
  • misty1212
then since it goes through the origin \((0,0)\) the point slope formula gives \[y=-\frac{5}{3}x\]
misty1212
  • misty1212
multiply by 3 to get \[3y=-5x\]
misty1212
  • misty1212
add \(5x\) to both sides to put it in standard form get \[5x+3y=0\]
anonymous
  • anonymous
oooooh okay :) Thank you!!!!
misty1212
  • misty1212
i see that is not an answer choice though
misty1212
  • misty1212
we can fix that multiply all by -1 get \[-5x-3y=0\]
anonymous
  • anonymous
oh wait its not :/
anonymous
  • anonymous
ohh alright thank you again much appreciated!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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