# How does this notation using theta mean a line or linear function?

Question:

How does this notation using theta mean a line(ar function)?

Explanation:

I'm taking Andrew Ng's Machine Learning course on Coursera. He often uses math notation without explaining it. He says...

We're going to represent h as follows. And we will write this as h (subscript theta) (x) equals theta (subscript one) plus theta (subscript one) of x. (see first green line of right of image below)

"h" above means hypothesis in machine learning but would commonly be called a function in math.

What I am really confused by and hoping for help understanding is ...

what does "theta (subscript one) plus theta (subscript one) of x" mean?

how does it represent a line or linear function?

I don't yet understand the correlation.

A more popular form of a straight line would be $$y=mx+c$$
Here $\theta_0$ corresponds to $c$ which is the intercept.
and $\theta_1$ corresponds to $m$ which is the gradient.
• it is just a symbol, it is not relevant to polar coordinate. another common notation is $\beta$ for this setting. They are parameters that we have to estimate in this setting. – Siong Thye Goh Sep 2 '18 at 11:42