Mathematics
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OpenStudy (anonymous):
What is the slope of the line passing through the points (2,7) and (-1, 3) ?
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OpenStudy (anonymous):
y2 - y1
------ = slope
x2 - x1
OpenStudy (anonymous):
So 7-3 and 2-(-1) ?
jimthompson5910 (jim_thompson5910):
keep going Luckylexi
OpenStudy (anonymous):
I got 4/-1 ? But that's not one of the answer choices.
jimthompson5910 (jim_thompson5910):
2 - (-1)
is the same as
2 + 1
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OpenStudy (anonymous):
So 4/3 ?
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
Can you help me with another question ?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
Okaye i'll attach the file. It shows the question.
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jimthompson5910 (jim_thompson5910):
ok first off, you need to find the slope of that line
OpenStudy (anonymous):
4/6 ?
jimthompson5910 (jim_thompson5910):
hmm it's a small
jimthompson5910 (jim_thompson5910):
the slope is not 4/6
OpenStudy (anonymous):
Well i'm very very confused then !
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jimthompson5910 (jim_thompson5910):
remember, the slope formula is
m = (y2 - y1)/(x2 - x1)
OpenStudy (anonymous):
Oh. Soo -4/0 ?
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
you would only have 0 in the denominator if you had a vertical line
jimthompson5910 (jim_thompson5910):
remember, y goes on top
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OpenStudy (anonymous):
4/-6 ?
jimthompson5910 (jim_thompson5910):
again, the y differences go on top of the fraction
OpenStudy (anonymous):
-6/4 ?
jimthompson5910 (jim_thompson5910):
closer, but no
jimthompson5910 (jim_thompson5910):
notice how the line has a positive slope (it goes up as you read it from left to right)
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OpenStudy (anonymous):
okaye if you have (0,1) Which one is y and which one is x ?
jimthompson5910 (jim_thompson5910):
if you have the point (0,1), then x = 0 and y = 1
jimthompson5910 (jim_thompson5910):
all points are of the form (x,y)
OpenStudy (anonymous):
So -6/-4 ?
jimthompson5910 (jim_thompson5910):
now reduce that
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OpenStudy (anonymous):
-3/-2 ?
jimthompson5910 (jim_thompson5910):
two negatives divide to make a _____
OpenStudy (anonymous):
positive ? so 3/2 ?
jimthompson5910 (jim_thompson5910):
perfect, the slope is 3/2
OpenStudy (anonymous):
So 3/2x+3 ?
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jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
How about : The x intercept of a line is -5 and the y- intercept of a line is -2 . WHat is the equation of the line ?
OpenStudy (anonymous):
My answer is 5/2x-2 . Is that right ?
jimthompson5910 (jim_thompson5910):
that is incorrect
OpenStudy (anonymous):
Dang . What about - 5/2x-5 ?
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jimthompson5910 (jim_thompson5910):
sounds like you're guessing
jimthompson5910 (jim_thompson5910):
what I recommend is you using the slope formula again
jimthompson5910 (jim_thompson5910):
the two points you will use are
(-5,0) and (0,-2)
OpenStudy (anonymous):
How do i Do that if I only have two numbers ?
jimthompson5910 (jim_thompson5910):
the two intercepts mean that you have these two points on the line
(-5,0) and (0,-2)
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OpenStudy (anonymous):
-2/-5 ?
jimthompson5910 (jim_thompson5910):
you messed up somewhere, the overall slope should be negative
OpenStudy (anonymous):
so if they're both negative signs that means the slope will be positive ?
jimthompson5910 (jim_thompson5910):
yes, -2/-5 = 2/5
but the slope should be negative
OpenStudy (anonymous):
Well then iDk hat it could be ?
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jimthompson5910 (jim_thompson5910):
it should be -2/5
so you either lost a negative sign or you introduced one in there somewhere
jimthompson5910 (jim_thompson5910):
so again, the slope is -2/5
OpenStudy (anonymous):
Okaye. I see now . I have one last one ! And i'll attach the file. Thank you soooo much !!!
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
first off what is slope intercept form?
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OpenStudy (anonymous):
-5/2 ?
jimthompson5910 (jim_thompson5910):
no in general, what is slope intercept form
OpenStudy (anonymous):
Oh y=mx+b
jimthompson5910 (jim_thompson5910):
good, so you have to turn the original equation given into that form
OpenStudy (anonymous):
So y= -5/2(x+11) ?
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jimthompson5910 (jim_thompson5910):
that's not in the form y = mx + b
jimthompson5910 (jim_thompson5910):
and you simplified incorrectly
OpenStudy (anonymous):
Well how do I do that ?
jimthompson5910 (jim_thompson5910):
y - 7 = -5/2(x + 4)
y - 7 = -5/2(x) - 5/2(4)
y - 7 = -5/2(x) - 5/2*(4/1)
y - 7 = -5/2(x) - 20/2
y - 7 = -5/2(x) - 10
I'll let you finish up
OpenStudy (anonymous):
y-7+7 = -5/2(x) -10+7 ?
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jimthompson5910 (jim_thompson5910):
keep going
OpenStudy (anonymous):
y= -5/2(x) - 3
jimthompson5910 (jim_thompson5910):
nailed it
OpenStudy (anonymous):
Thank You soooo much !
jimthompson5910 (jim_thompson5910):
you're welcome