Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3

The slope intercept equation of the line is:

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

Step-by-step explanation:

- They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)

1. X = 8t + 3

2. Y = 9t + 3

- We first convert in terms of t to compare both equations:

1. x = 8t + 3

x - 3 = 8t

t = (x - 3) / 8

- Same for the following:

3. y = 9t + 3

y - 3 = 9t

t = (y - 3) / 9

- Now equating by comparing both equations, we will find y:

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

9x - 27 = 8y - 24

9x - 3 = 8y

- Clearing and comparing both parameters gives us:

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