Find two different parametric equations for y=2x-3  

david ifori

david ifori

Answered question

2022-07-05

Find two different parametric equations for y=2x-3

 
 

Answer & Explanation

nick1337

nick1337

Expert2023-06-17Added 777 answers

To find two different parametric equations for the given equation, we can express both x and y in terms of a parameter. Let's choose the parameter t.
Let's start by expressing x in terms of t. We can set x = t.
Since y = 2x - 3, we can substitute the value of x into the equation to find y in terms of t:
y=2(t)3
Now, we have our first parametric equation:
x=t
y=2t3
To find the second parametric equation, we can express x in terms of a different parameter. Let's choose a different parameter, s.
Let's set x=2s3.
Substituting this value of x into the equation y=2x3, we can find y in terms of s:
y=2(2s3)3
Simplifying the equation:
y=4s63
y=4s9
Therefore, we have our second parametric equation:
x=2s3
y=4s9
These two parametric equations represent the original equation y=2x3.

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