Mathematics
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OpenStudy (anonymous):
I am studying for a test tomorrow and i would greatly appreciate it if someone would help me find the y intercept of 3y=15x-9
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jimthompson5910 (jim_thompson5910):
To find the y-intercept, you plug in x = 0 and solve for y
3y=15x-9
3y=15(0)-9 ... replace x with 0
3y = 0 - 9
3y = -9
y = ???
OpenStudy (anonymous):
Thank you
jimthompson5910 (jim_thompson5910):
what did you get for y?
OpenStudy (anonymous):
Well, if i read your equation right it is -9
jimthompson5910 (jim_thompson5910):
3y = -9
but we want to know what y is (not 3y)
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jimthompson5910 (jim_thompson5910):
if 3 times y = -9, then y = ???
OpenStudy (anonymous):
-3
OpenStudy (anonymous):
So the. What would 2x+8y=12
OpenStudy (anonymous):
Then*
jimthompson5910 (jim_thompson5910):
good, the y-intercept is -3 which means the graph crosses the y axis at the point (0,-3)
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jimthompson5910 (jim_thompson5910):
to find the y-intercept of 2x+8y=12, you plug in x = 0 and solve for y
2x+8y=12
2(0)+8y=12
...
...
...
y = ???
OpenStudy (anonymous):
6
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
that's the x-intercept actually
jimthompson5910 (jim_thompson5910):
because plugging in y = 0 gives you
2x+8y=12
2x+8(0)=12
2x = 12
x = 12/2
x = 6
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OpenStudy (anonymous):
I am sosorry, you are right, i looked badly
jimthompson5910 (jim_thompson5910):
that's ok
OpenStudy (anonymous):
So then the y intercept would be 8
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
if 8y = 12, then y = ???
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jimthompson5910 (jim_thompson5910):
hopefully you see how I'm getting 8y = 12
OpenStudy (anonymous):
No
jimthompson5910 (jim_thompson5910):
I plugged in x = 0 into 2x+8y=12
jimthompson5910 (jim_thompson5910):
2x+8y=12
2(0)+8y=12
0 + 8y = 12
8y = 12
OpenStudy (anonymous):
Yes, i get that already, but the thing is how can you grab 8 times y equals 12
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jimthompson5910 (jim_thompson5910):
8y means "8 times y"
jimthompson5910 (jim_thompson5910):
what undoes multiplication?
OpenStudy (anonymous):
So the oppposite of multiplication
OpenStudy (anonymous):
Or just minus
jimthompson5910 (jim_thompson5910):
no, division actually
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jimthompson5910 (jim_thompson5910):
you divide both sides by 8 to completely isolate y
OpenStudy (anonymous):
Because the oppposite is divsion
jimthompson5910 (jim_thompson5910):
yes, division undoes multiplication (by definition)
OpenStudy (anonymous):
So we end up with?
jimthompson5910 (jim_thompson5910):
you tell me
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jimthompson5910 (jim_thompson5910):
8y = 12
divide both sides by 8
OpenStudy (anonymous):
How do i do that, 8(8y=12)
OpenStudy (anonymous):
Like that?
jimthompson5910 (jim_thompson5910):
8y/8 turns into 1y/1 or just y on the left side
jimthompson5910 (jim_thompson5910):
12/8 = ???
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OpenStudy (anonymous):
1.5
jimthompson5910 (jim_thompson5910):
or 3/2
jimthompson5910 (jim_thompson5910):
the y-intercept is 3/2 or 1.5
OpenStudy (anonymous):
Does the slash mean division for you people
jimthompson5910 (jim_thompson5910):
"you people"?
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jimthompson5910 (jim_thompson5910):
sounds a bit rude
OpenStudy (anonymous):
You guys
jimthompson5910 (jim_thompson5910):
but yeah, / means division
jimthompson5910 (jim_thompson5910):
2/3 means "2 divided by 3" and it's also fraction notation
OpenStudy (anonymous):
Are you a teacher by any chance
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jimthompson5910 (jim_thompson5910):
not yet, but I'm on my way to becoming one
OpenStudy (anonymous):
Thats great, keep on it
jimthompson5910 (jim_thompson5910):
thanks
OpenStudy (anonymous):
Bye
jimthompson5910 (jim_thompson5910):
bye