Find a set of parametric equations for y=3x+7, given the parameter t= 5-5x
To find the set of parametric equations we need to solve for x and y in terms of the parameter t.
We have t = 5 - 5x
Solving for x we get x = (5 - t)/5
Now we can substitute this value of x into the original equation y = 3x + 7 to get y in terms of t:
y = 3((5 - t)/5) + 7
y = (15 - 3t)/5 + 7
y = (15 - 3t + 35)/5
y = (-3/5)t + 10
Therefore, the set of parametric equations is:
x = (5 - t)/5
y = (-3/5)t + 10