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OpenStudy (vera_ewing):
OpenStudy (unimatix):
I can help with this.
OpenStudy (unimatix):
Okay so do you know what the x and y intercepts are? Can you find the x and y values you are looking for?
OpenStudy (vera_ewing):
2 and 5?
OpenStudy (carolinar7):
So what is the slope between those lines
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OpenStudy (unimatix):
So it line would include (2, 0) and (0, 5) . Does that make sense?
OpenStudy (vera_ewing):
Yes, ok. Now what?
OpenStudy (unimatix):
Do you know how to find the slope?
OpenStudy (carolinar7):
Find the slope
OpenStudy (vera_ewing):
-5/2
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OpenStudy (carolinar7):
\[\frac{ y2-y1 }{ x2-x1 }\]
OpenStudy (vera_ewing):
So what would the equation be in standard form?
OpenStudy (carolinar7):
y=ax+b I believe
OpenStudy (anonymous):
x-intecept of 2 (i.e. the point (2,0)) and a y-intercept of 3 (i.e. the point (0,3)) lie on the line... so repeat the procedure from the previous problem and your golden :D
OpenStudy (anonymous):
No standard from is ax+by=c
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OpenStudy (carolinar7):
ok
OpenStudy (carolinar7):
True I forgot
OpenStudy (anonymous):
y=mx+b is slope intercept
and point slope is the y2-y1=m(x2-x1)
OpenStudy (anonymous):
No probs :D
OpenStudy (carolinar7):
Remember that A has to be a positive and a whole number
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OpenStudy (vera_ewing):
Wait so what is the equation in standard form?
OpenStudy (unimatix):
I've always thought point slope form looked so ugly.
OpenStudy (anonymous):
Yea honestly its only a cheat formula to remember the slope formula
OpenStudy (unimatix):
get your x value and y value on the same side and you've got standard form.
OpenStudy (vera_ewing):
So what would it look like? Can you show me?
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OpenStudy (unimatix):
an example (but not your answer): 5x+29y = 39
OpenStudy (unimatix):
See the x and y are on the same side, constant is on the other.
OpenStudy (vera_ewing):
So it would be 2x+5y=-5/2 ?
OpenStudy (unimatix):
Nope. Your math is off.
OpenStudy (unimatix):
So how I'd solve it is:
y = mx + b
M = slope. Then plug in your x and y
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OpenStudy (unimatix):
What did you get for you slope?
OpenStudy (vera_ewing):
y = -5x/2 + 5 is slope-intercept form right?
OpenStudy (unimatix):
Yep!
OpenStudy (vera_ewing):
So what would it be in standard form?
OpenStudy (unimatix):
So try adding the 5x/2 to each side from slope int.
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OpenStudy (vera_ewing):
5x+2y=10?
OpenStudy (unimatix):
Ah yes. That looks right!
OpenStudy (vera_ewing):
Thanks
OpenStudy (unimatix):
You're welcome. Oh and if you ever want to check you can always plug in your values!