Mathematics
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OpenStudy (anonymous):
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.
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OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
y = 3x + 7
y = 3x − 7
y = 1 over 3x + 2
y = 1 over 3x − 2
jimthompson5910 (jim_thompson5910):
what is the slope of y = 3x - 4
OpenStudy (anonymous):
i havent done this is in 8 months.. can you walk me through it real quick
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OpenStudy (anonymous):
well i have to leave is 8 mins and its my last question.
OpenStudy (anonymous):
will it take long
jimthompson5910 (jim_thompson5910):
no it shouldn't take long, go ahead and read it
OpenStudy (anonymous):
@jim_thompson5910 is it B?
jimthompson5910 (jim_thompson5910):
what is the slope of y = 3x - 4 ?
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OpenStudy (anonymous):
@jim_thompson5910 hey i just got back... is it m=3
b=-4 ?
jimthompson5910 (jim_thompson5910):
m = 3 is the slope
the b = -4 is correct, but not needed here
jimthompson5910 (jim_thompson5910):
the parallel line passes through (3,2)
so x = 3 and y = 2
jimthompson5910 (jim_thompson5910):
we know: m = 3, x = 3, y = 2
plug them into y = mx+b and solve for b
what do you get?
OpenStudy (anonymous):
kk hang on
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OpenStudy (anonymous):
so wait by plugging that in i will get b?
jimthompson5910 (jim_thompson5910):
yes and isolating b
OpenStudy (anonymous):
im confused.. @jim_thompson5910
OpenStudy (anonymous):
@sleepyjess
jimthompson5910 (jim_thompson5910):
what do you get when you plugged in the values?
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OpenStudy (anonymous):
it said error?
jimthompson5910 (jim_thompson5910):
don't rely on a calculator right now
jimthompson5910 (jim_thompson5910):
simply replace m with 3
replace x with 3
replace y with 2
jimthompson5910 (jim_thompson5910):
you use y = mx+b
OpenStudy (anonymous):
okay so it would look like this... 2=3(3)+B
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OpenStudy (anonymous):
?? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
correct, that is equivalent to 2 = 9+b
so b = ???
OpenStudy (anonymous):
=-7?
jimthompson5910 (jim_thompson5910):
now we know m = 3 and b = -7 which are then plugged into y = mx+b to get y = 3x - 7
OpenStudy (anonymous):
so i was right!! dang thats so easy but i always make it harder :( thanks man @jim_thompson5910
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jimthompson5910 (jim_thompson5910):
you're welcome