Question

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

x = 8t + 3
y = 91 +3

Answer 1

Explanation:

Given parametric equations, x = 8t + 3 and y = 9t +3

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

If y = 9t +3 , then 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

In slope-intercept form,

x= 1/3 y

with slope ( 1/3)