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

x = 8t+3

y = 9t + 3

Equation in slope-intercept form,

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

Step-by-step 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)

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