So let's say that there's a vector equation (x,y)=(3,5) + t(2,-2)
how would i write the cartesian equation?
btw this isn't a homework question, i have a test on this tomorrow and am completely lost. so any help would be appreciated.
how would i write the cartesian equation?
btw this isn't a homework question, i have a test on this tomorrow and am completely lost. so any help would be appreciated.
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(x,y)=(3,5)+t(2,-2) is a parametric equation which can be separated into:
x=3+2t and y=5-2t
from here you solve for t using either equation
lets say we use x=3+2t then solve for t
t=(1/2)(x-3)
now you go to your other equation which is y=5-2t and plug in t which you just solved for:
y=5-2(1/2(x-3)) then simplify and get:
y=8-x
(notes:to save some work u should solve for t using x-equation so at the end you will already have y=... if you do it the other way around you would probably have to solve for y (depending on your teacher or what the question asks for))
good luck on your test
x=3+2t and y=5-2t
from here you solve for t using either equation
lets say we use x=3+2t then solve for t
t=(1/2)(x-3)
now you go to your other equation which is y=5-2t and plug in t which you just solved for:
y=5-2(1/2(x-3)) then simplify and get:
y=8-x
(notes:to save some work u should solve for t using x-equation so at the end you will already have y=... if you do it the other way around you would probably have to solve for y (depending on your teacher or what the question asks for))
good luck on your test