Write parametric equations of the line with the equation 4x-6y=-12
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2 answers:
Answer:
x = 3t
y = 2 + 2t
Step-by-step explanation:
Use any two points on the line:
Using intercepts would be easy
4x - 6y = -12
(-3,0) and (0,2)
Make a vector connecting these two: < 0 - -3, 2 - 0>
Direction vector: < 3, 2 >
Let the parameter be 't'
x = 0 + 3t
x = 3t
y = 2 + 2t
Answer: x = t, y = 2t/3 + 2
Step-by-step explanation:
You want to write both x and y in terms of t
so if you rearrange 4x - 6y = -12 you get
-6y = -4x - 12
6y = 4x + 12
y = 2x/3 + 2
set x = t
and y = 2t/3 + 2
and that's it!
another one you could do is
x = t/2
y = t/3 + 2
or even
x = 3t/2
y = t + 2
i like this one the most because it looks more elegant
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