help
what is the equation of the line x-3y=18 in slope-intercept form?
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HanAkoSolo (jamierox4ev3r):
First of all, do you know what slope-intercept form is?
OpenStudy (shyannep913):
yes
HanAkoSolo (jamierox4ev3r):
so then, what variable are we solving for here?
OpenStudy (shyannep913):
y
HanAkoSolo (jamierox4ev3r):
correct. So if we're given x-3y=18, what is our first step in solving?
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OpenStudy (shyannep913):
subtract x from each side?
HanAkoSolo (jamierox4ev3r):
yes. So what would your equation look like after doing that?
OpenStudy (shyannep913):
3y=x-18?
HanAkoSolo (jamierox4ev3r):
ah, but don't forget not to mess up your signs.
HanAkoSolo (jamierox4ev3r):
Here's how the subtraction should look like:
x-3y=18
-x -x
--------
-3y= -x+18
^ I know it's not pretty, but we have to keep our signs. Does this make sense?
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OpenStudy (shyannep913):
yes
HanAkoSolo (jamierox4ev3r):
okay, so what is our final step?
OpenStudy (shyannep913):
3y/3=-x-18/3?
HanAkoSolo (jamierox4ev3r):
Ah, like I said, don't forget to keep signs constant. But you are correct in dividing both sides by 3
HanAkoSolo (jamierox4ev3r):
it would look something more like this:
-3y= -x+18
/-3 /-3 /-3
----------
y= ?
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