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OpenStudy (unklerhaukus):
what do you need to do with that equation ?
OpenStudy (anonymous):
solve for x
OpenStudy (unklerhaukus):
the first step will be to take away c from both sides of the equation
OpenStudy (anonymous):
how?
OpenStudy (anonymous):
a-c=bxt?
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OpenStudy (unklerhaukus):
yep that right so far
OpenStudy (unklerhaukus):
now you want to divide both sides of the equation by b, and by t
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
a-c/bt=bxt/bt
OpenStudy (unklerhaukus):
yeah , you might like some brackets on the left hand side to be clear (a-c)/bt
and the right hand side simplifies
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OpenStudy (anonymous):
x= (a-c)/bt
OpenStudy (anonymous):
wait
OpenStudy (unklerhaukus):
you got it!
OpenStudy (anonymous):
while your here could you help with one morw
OpenStudy (unklerhaukus):
sure
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OpenStudy (anonymous):
more*
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
i'll give you a medal after this one
OpenStudy (anonymous):
alright the point's are 1,5 and 6,7 and i got 2/5x+y=5 2/5
OpenStudy (anonymous):
now i need to find y and x intercepts
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OpenStudy (unklerhaukus):
i dont think that second point (6,7) is on that line
2/5(6)+(7) = 12/5+7
= (12+35)/5
= 47/5
= 9 2/5
≠ 5 2/5
OpenStudy (anonymous):
well i might of made a mistake when doing standard or point slope,or slope intercept this is what i got for a slope 2/5
OpenStudy (unklerhaukus):
slope intercept form is y=mx+b
so you just have the sign of the slope the other way around
OpenStudy (anonymous):
y=2/5x+?
OpenStudy (unklerhaukus):
you had the right intercept before
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OpenStudy (anonymous):
ok so y=2/5x-5 2/5
OpenStudy (unklerhaukus):
almost , now you have the wrong sign on the intercept
OpenStudy (anonymous):
?
OpenStudy (unklerhaukus):
y = 2/5x+5 2/5
now to check
-2/5x+y = 5 2/5
-2/5(6)+(7) = -12/5+7
= (-12+35)/5
= 23/5
= 5 2/5
OpenStudy (unklerhaukus):
and the other point (1,5)
-2/5(1)+(5) = -2/5+5
= (-2+25)/5
= 23/5
= 5 2/5
so both the points are on the line,
y = 2/5x+5 2/5
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OpenStudy (unklerhaukus):
\[y(x) = \tfrac25x+5\tfrac25\]
the y-intercept is when \(x=0\)
ie at the point \((0,y_0)\),
where \(y_0=y(0)= \tfrac25(0)+5 \tfrac25\)
.
the x-intercept is when \(y=0\)
ie at the point \((x_0,0)\),
where \(y(x_0)=0= \tfrac25(x_0)+5 \tfrac25\)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
now i need to find what (x,0) is and (y,0)
OpenStudy (anonymous):
i mean (0,y)
OpenStudy (unklerhaukus):
yes
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OpenStudy (anonymous):
so 2/5x+y=5 2/5
OpenStudy (anonymous):
i know y is (0,5 2/5)
OpenStudy (unklerhaukus):
watch the sign
y = 2/5x+5 2/5
- 2/5x+y =5 2/5
OpenStudy (unklerhaukus):
(but yes you have found the y-intercept)
OpenStudy (anonymous):
oh i see i added 2/5x to the other side
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OpenStudy (anonymous):
do i divide or what?
OpenStudy (unklerhaukus):
from
y = 2/5x+5 2/5
take 2/5x from both sides to get
- 2/5xy = (2/5x- 2/5x)+5 2/5
- 2/5x+y =5 2/5
OpenStudy (anonymous):
ok x=5
OpenStudy (anonymous):
wait -x=5
so
-1(-x=5)
OpenStudy (unklerhaukus):
- 2/5x+y =5 2/5
Now to get the
x-intercept
just sub y=0
- 2/5x+0 =5 2/5
=
=
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OpenStudy (anonymous):
(5,0)
OpenStudy (anonymous):
now i need to determine if the given point is parallel or perpendicular
OpenStudy (anonymous):
can we go a bit quicker i gotta go to school in 15 min