Answer:
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
