Question

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

x = 8t+3
y = 9t+ 3

Answer 1

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

Explanation:

Answer 2

Equation in slope-intercept form,

x= 1/3 y with slope ( 1/3)

Explanation:

Given equations,

x = 8t + 3

y = 9t +3

If x = 8t + 3 , we have t = (3 - x)/ 8

If y = 9t +3 , we have t= (3 - y)/ 9

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

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

27x - 9x = 24x - 8y

27x - 24x = -8y + 9x

3x= 1y

x= 1/3 y

Equation in slope-intercept form,

x= 1/3 y with slope ( 1/3)