Mathematics
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OpenStudy (tootsi123):
The slope of the line whose equation is x - 3y = 1 is
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OpenStudy (notcheatinglol):
What is your question?
OpenStudy (tootsi123):
A. -3
B. -1/3
C. 1/3
OpenStudy (czesc):
To find the slope simply solve for y.
OpenStudy (tootsi123):
Okay solving for y so then 3y=1-x
OpenStudy (welshfella):
rearrange to the form y = mx + b
the slope is the value of m
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OpenStudy (tootsi123):
correct so far
OpenStudy (czesc):
yes
OpenStudy (czesc):
get rid of the 3 on the left side.
OpenStudy (tootsi123):
divide both sides by 3?
OpenStudy (czesc):
yes
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OpenStudy (welshfella):
3y = x - 1
now divide throught by 3
OpenStudy (tootsi123):
So the answer should be 1/3 is the slope correct?
OpenStudy (welshfella):
yes
OpenStudy (tootsi123):
Okay :) thank you when i first did it for some reason i kept getting 3 but i know what i did wrong now.
OpenStudy (welshfella):
y = (1/3) x - 1/3
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OpenStudy (czesc):
Good job, see you around!
OpenStudy (tootsi123):
One more i just want to make sure i have it down
OpenStudy (tootsi123):
x+y=6
y=6+x
correct so far?? @czesc
OpenStudy (welshfella):
No you need to subtract x from both sides
OpenStudy (tootsi123):
Oh okay y=6-x now what
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OpenStudy (welshfella):
x + y = 6
-x -x
y = 6 - x
OpenStudy (tootsi123):
Do I need to divide still or is it just one since it's only x?
OpenStudy (welshfella):
what do you need here - the slope again?
OpenStudy (tootsi123):
I need to know the slope but I want to make sure I know how to do these problems for my upcoming test.
OpenStudy (welshfella):
oh ok
compare what we have with the general form which is y = mx + b
we can write y = 6 - x as y = -x + 6
so comparing:-
y = mx + b
y = -x + 6
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OpenStudy (welshfella):
so m = what?
OpenStudy (tootsi123):
Oh okay that makes since okay I get it now.
OpenStudy (welshfella):
-x can be written -1x
so m = slope = -1
OpenStudy (tootsi123):
Alright that makes since thank you so much I really appreciate it
OpenStudy (welshfella):
yw