Determine the equation of the line, in standard form, that will get your spacecraft from the Launch Area to Point A.
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OpenStudy (anonymous):
OpenStudy (anonymous):
Launch Area:___(1, 2)___
Point A:_____1,0_____
Point B:______4, 0____
Point C:_____-3,4_____
OpenStudy (anonymous):
brb making lunch..
OpenStudy (anonymous):
@ganeshie8
OpenStudy (anonymous):
im back :)
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ganeshie8 (ganeshie8):
im not seeing point A in graph ?
OpenStudy (anonymous):
they gave me the graph and i'm suppose to come up with cordiantes
OpenStudy (anonymous):
then answer questions about them
ganeshie8 (ganeshie8):
so, these point uve picked randomly is it ?
Point A:_____1,0_____
Point B:______4, 0____
Point C:_____-3,4_____
OpenStudy (anonymous):
yes
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ganeshie8 (ganeshie8):
okie cool :) so u making lunch or having lunch ?lol
OpenStudy (anonymous):
eating it now lol
OpenStudy (anonymous):
gotta love pizza day
ganeshie8 (ganeshie8):
wow ! its dinner time over here... ima have dinner shortly too :)
OpenStudy (anonymous):
yeah its 1:08pm here
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ganeshie8 (ganeshie8):
if it can wait, we can sit after ur lunch (after my dinner hehe)
OpenStudy (anonymous):
probably, how long ya got for dinner?
ganeshie8 (ganeshie8):
this quesiton wont take much time actually,
ganeshie8 (ganeshie8):
il go in 20-30 minutes
OpenStudy (anonymous):
well theres like 8 questions for this lol :l
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OpenStudy (anonymous):
first 3 are distances between points though
ganeshie8 (ganeshie8):
let me give u a headstart then...
OpenStudy (anonymous):
These are the first 3,
1. Determine the equation of the line, in standard form, that will get your spacecraft from the Launch Area to Point A.
2. Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.
3. Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.
ganeshie8 (ganeshie8):
lets find equation for line between Launch area and Point A
OpenStudy (anonymous):
alright lets do it :D
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ganeshie8 (ganeshie8):
Nice :) I'll show u how to do for above, u can try if u can do the rest
OpenStudy (anonymous):
I'll give it a go! there all in different forms though lol :S
ganeshie8 (ganeshie8):
Launch Area:___(1, 2)___
Point A:_____1,0_____
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
gotta find the equation to get our spaceship there lol
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ganeshie8 (ganeshie8):
watever the form it is, first we will find slope between two points of
OpenStudy (anonymous):
undefined slope
ganeshie8 (ganeshie8):
u knw how to find slope between two points
ganeshie8 (ganeshie8):
thats right, slope between Launch Area and Point A is UNDEFINED
so, the line wud be vertical
OpenStudy (anonymous):
umm would that be the
(y2 - y1) / (x2 - x1) equation?
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ganeshie8 (ganeshie8):
exactly ! we will use for rest of the two questions.
OpenStudy (anonymous):
lol luckily all the slopes are vertical or horizontal xD
ganeshie8 (ganeshie8):
cool, less work :)
tell me wats how the equation of vertical line looks like ?
OpenStudy (anonymous):
I believe it would be x = 1?
ganeshie8 (ganeshie8):
Perfect ! u dont need me anymore :|
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OpenStudy (anonymous):
lol i still need ya for plenty
ganeshie8 (ganeshie8):
ok sure :) Is the equation u got in standard form ?
OpenStudy (anonymous):
That I'm not sure of :S
OpenStudy (anonymous):
I think so but don't know so lol
ganeshie8 (ganeshie8):
can u google and get the 'standard form of line' equation plzzzz :)
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OpenStudy (anonymous):
alright one second
OpenStudy (anonymous):
The Standard Form equation of a line has the following formula: Ax + By = C where A ≠0 and B ≠0
OpenStudy (anonymous):
so how would i take x = 1 and put it in standard form?
ganeshie8 (ganeshie8):
x = 1
1x + 0y = 1
ganeshie8 (ganeshie8):
that should do, we cant do anything about A ≠0 and B ≠0 . so dont worry about it. move on to net q
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ganeshie8 (ganeshie8):
*next
OpenStudy (anonymous):
alright thanks man! thats 1 down lol
OpenStudy (anonymous):
2. Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.
OpenStudy (anonymous):
Point A:_____1,0_____
Point B:______4, 0____
ganeshie8 (ganeshie8):
wats slope ?
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OpenStudy (anonymous):
0
ganeshie8 (ganeshie8):
yup,
remember these for the rest of course :-
1) vertical line : slope = undefined ; x = k
2) horizontal line : slope = 0 ; y = k
OpenStudy (anonymous):
whats k?
ganeshie8 (ganeshie8):
wats theequaiton of line ?
ganeshie8 (ganeshie8):
k is just some number,
can u put the equation for line first, then we will see wat k is
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OpenStudy (anonymous):
y = 0?
ganeshie8 (ganeshie8):
yup ! thats the horizontal line.
k is 0 here
ganeshie8 (ganeshie8):
but they want it in point slope form
OpenStudy (anonymous):
hmm..
OpenStudy (anonymous):
to google lol!
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ganeshie8 (ganeshie8):
yup, google ang gimme point-slope form, then we will see :)
OpenStudy (anonymous):
y - y1 = m(x - x1)?
ganeshie8 (ganeshie8):
exactly ! you're good at googling !!
OpenStudy (anonymous):
plenty of experience lol
ganeshie8 (ganeshie8):
lol,
now we knw slope = m = 0
pick one of hte point, then we can plug the values in above equation
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OpenStudy (anonymous):
Point A:_____1,0_____
Point B:______4, 0____
how about 1,0?
ganeshie8 (ganeshie8):
lets pick Point A
Point A:_____1, 0_____
x1 y1
ganeshie8 (ganeshie8):
slope = m = 0
ganeshie8 (ganeshie8):
plug these in ur point-slope form (DONT SIMPLIFY)
OpenStudy (anonymous):
y - y1 = m(x - x1)?
y - 0 = 0(x - 1)?
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ganeshie8 (ganeshie8):
looks perfect ! u must have that form. ok . should not simplify
ganeshie8 (ganeshie8):
Next..
OpenStudy (anonymous):
now we add the second cordinate?
OpenStudy (anonymous):
or is that the final answer?
ganeshie8 (ganeshie8):
We are done.
picking any one point will do.
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OpenStudy (anonymous):
sweet.. lol next..
OpenStudy (anonymous):
3. Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.
OpenStudy (anonymous):
slope intercept form is y = mx + b if i remember right where m is the slope and b is the y intercept
ganeshie8 (ganeshie8):
thats correct ! :)
OpenStudy (anonymous):
y = mx + b...
well its slope is undefined and it doesnt have a y intercept lol
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OpenStudy (anonymous):
wait a minute..
OpenStudy (anonymous):
Point B:______4, 0____
Point C:_____-3,4_____
OpenStudy (anonymous):
it does have a y intercept and slope...
ganeshie8 (ganeshie8):
find the slope first,
finally u getting to use the slope formula :)
OpenStudy (anonymous):
using (y2 - y1) / (x2 - x1) to find the slope...
4 - 0 -3 - 4
4/ -7
= .57?
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ganeshie8 (ganeshie8):
leave it as -4/7
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
shouldnt it be 4/-7 not -4/7?
ganeshie8 (ganeshie8):
so the equation must be :-
\(\large y = \frac{-4}{7}x + b\)
ganeshie8 (ganeshie8):
both are same friend
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