Question

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

x=8t + 3
y=9t + 3​

Answer 1

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

Explanation:

An equation in slope-intercept form has the following format:

`y = mx + b`

In this problem, we have that:

`x = 8t + 3`

`y = 9t + 3`

How can we write in slope-intercept?

In the first equation, i am going to solve t as a function of x. So

`8t = x - 3`

[te]t = \frac{x - 3}{8}[/tex]

Now i replace in the second equation

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

`y = (9x - 27)/(8) + (24)/(8)`

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