Mathematics
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OpenStudy (anonymous):
find the equation of the line through the given pair of points in standard form using only integers
(5,-3) and (-2,4)
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jimthompson5910 (jim_thompson5910):
what is the slope?
OpenStudy (anonymous):
y1-y2/x1-x2 ??
OpenStudy (anonymous):
-1
jimthompson5910 (jim_thompson5910):
slope: m = -1
jimthompson5910 (jim_thompson5910):
let's say we pick the point (5,-3)
so x = 5 and y = -3
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jimthompson5910 (jim_thompson5910):
y = mx+b
-3 = -1*5 + b
solve for b
OpenStudy (anonymous):
2
jimthompson5910 (jim_thompson5910):
the equation in slope intercept form is y = -1x + 2 or y = -x+2
jimthompson5910 (jim_thompson5910):
last step: turn that equation into standard form
OpenStudy (anonymous):
x+y+2
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OpenStudy (anonymous):
=
OpenStudy (anonymous):
x+y=2
jimthompson5910 (jim_thompson5910):
x+y = 2 is correct
OpenStudy (anonymous):
but wait
jimthompson5910 (jim_thompson5910):
what's wrong?
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OpenStudy (anonymous):
my multiple choices are different
OpenStudy (anonymous):
A) 7x+7y=14
B) 7x-7y=14
C)7x+7y=14
D)7x+7y=22
OpenStudy (anonymous):
are they wrong because the answer we came up with was the one i had origionaly
jimthompson5910 (jim_thompson5910):
ok we have x+y = 2
what can we do to both sides to get it to what they want
OpenStudy (anonymous):
times 7
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jimthompson5910 (jim_thompson5910):
A and C are identical and you can simplify
jimthompson5910 (jim_thompson5910):
so we would have 7x+7y = 14 when we multiply both sides by 7
jimthompson5910 (jim_thompson5910):
which is either A or C
OpenStudy (anonymous):
c is -14
OpenStudy (anonymous):
the answer is a
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OpenStudy (anonymous):
so thats what we have to do
jimthompson5910 (jim_thompson5910):
ok, then A it is
OpenStudy (anonymous):
ok thank you <3