Question

Write the equation of the line with the parametric equations x=2t and y=1-t in slope-intercept form.

a.y= -1/2x+1

b.y= -1/2x-1

c.y= 1/2x+1

d.y= 1/2x-1


Please select the best answer from the choices provided


A

B

C

D

Answer 1

We have been given parametric equations
`x=2t` and
`y=1-t`. We are asked to write the equation of line with the given parametric equations in slope intercept form.

First of all, we will solve for t from 1st equation as:

`(x)/(2)=(2t)/(2)`

`(x)/(2)=t`

`t=(x)/(2)`

Now we will substitute this value in 2nd equation.

`y=1-(x)/(2)`

`y=-(1)/(2)x+1`

Therefore, our required equation would be
`y=-(1)/(2)x+1` and option 'a' is the correct choice.