Question

what is the polar equation of a line passing through the pole with slope 1?

Answer 1

HELP

Answer 2

Hmm so we need to figure out this angle \(\Large\theta\), yes?

Answer 3

we need to find the polar coordintes

Answer 4

the polar equation

Answer 5

Well since our line goes in both directions, it will include all values of r for the given angle.
This polar equation will be of the form \(\Large\theta=b\).
We need to figure out the angle.

Answer 6

Since the slope of our line is 1, we can draw that relationship like this.\[\Large m\quad=\quad \frac{\Delta y}{\Delta x}\quad=\quad \frac{1}{1}\]