Question

Use t=5x+4 to write the parametric equations that can represent y=30x+29?

Answer 1

`x=t/5-4/5` and `y=6t+5` or `f(t)=(t/5-4/5,6t+5)`

Explanation:

As `t=5x+4` i.e. `x=(t-4)/5=t/5-4/5`, we can write `y=30x+29`

as `y=30xx(t-4)/5+29=6t-24+29=6t+5`

Hence parametric equation representing `y=30x+29` is

`x=t/5-4/5` and `y=6t+5`

or `f(t)=(t/5-4/5,6t+5)`