Algebra
22 Online
OpenStudy (anonymous):
What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ?
1) y=1/3x-23/3
2) y=1/3x-3
3) y-1/3x+7
4) y=3x+7
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
which equation listed has a slope of 3?
OpenStudy (anonymous):
1) y=1/3x-23/3
2) y=1/3x-3
3) y-1/3x+7
4) y=3x+7
jimthompson5910 (jim_thompson5910):
which of those choices you just listed out has a slope of 3?
OpenStudy (anonymous):
number 3 I think
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jimthompson5910 (jim_thompson5910):
hint: y = mx+b has a slope of m
jimthompson5910 (jim_thompson5910):
for example, y = 7x+10 has a slope of 7
OpenStudy (anonymous):
so its 4
jimthompson5910 (jim_thompson5910):
choice 4 has a slope of what?
OpenStudy (anonymous):
hoo i go it thank is 2
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jimthompson5910 (jim_thompson5910):
what do you mean?
OpenStudy (anonymous):
is answer number 2
jimthompson5910 (jim_thompson5910):
if you were to plug x = -6 into x for choice 2, what do you get for y?
OpenStudy (anonymous):
i just dont get it
jimthompson5910 (jim_thompson5910):
let's say we plug x = 5 into y = 7x+10
y = 7x+10
y = 7(5)+10 ... replace x with 5
y = 35 + 10 ... multiply
y = 45
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jimthompson5910 (jim_thompson5910):
So when x = 5, then y = 45 (for the equation y = 7x+10)
jimthompson5910 (jim_thompson5910):
if x = 2, then what is y when y = 7x+10 ?
jimthompson5910 (jim_thompson5910):
any ideas?
OpenStudy (anonymous):
noup
jimthompson5910 (jim_thompson5910):
replace x with 2 to get y = 7(2) + 10
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jimthompson5910 (jim_thompson5910):
then evaluate 7(2) + 10 and tell me what you get
OpenStudy (anonymous):
24
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so if y = (1/3)x - 3 and x = -6, then what is y?
OpenStudy (anonymous):
??????
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jimthompson5910 (jim_thompson5910):
replace x with -6 and evaluate
jimthompson5910 (jim_thompson5910):
y = (1/3)x - 3
y = (1/3)(-6) - 3
y = ?
OpenStudy (anonymous):
-5
jimthompson5910 (jim_thompson5910):
the point (-6,5) means x = -6 and y = 5
we want y = 5 and NOT y = -5
jimthompson5910 (jim_thompson5910):
so the point (-6,5) does NOT lie on y = (1/3)x - 3
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OpenStudy (anonymous):
formula (y+5)=1/3(x+6)
OpenStudy (anonymous):
(y-5) excuse me
OpenStudy (anonymous):
y = 1/3x +7 @briansito
OpenStudy (anonymous):
use point slope form @briansito
OpenStudy (anonymous):
plug in the numbers and turn the equation into standard form
y= mx + b
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OpenStudy (anonymous):
@briansito