Question

Write an equation in slope-intercept form of the line with the given parametric equations.

x = 8 + 3
y = 9t+3

Answer 1

`y = (9)/(8)\cdot x -(3)/(8)`

Explanation:

The parametric equations are described below:

`x = 8\cdot t + 3` and
`y = 9\cdot t + 3`

The slope-intercept equation is constructed by eliminating t from both formulae:

`t = (x-3)/(8)` and
`t = (y-3)/(9)`

`(x-3)/(8) = (y-3)/(9)`

`9\cdot (x-3) = 8\cdot (y-3)`

`9\cdot x - 27 = 8\cdot y -24`

`9\cdot x -3 = 8\cdot y`

`y = (9)/(8)\cdot x -(3)/(8)`