Question

Choose the point on the terminal side of 135º.

Answer 1

We are given the following information.

We also know that the general equation of a line is given by

`y=mx+b`

Where m is the slope of the line and b is the point at which it crosses the y axis.

Since the line given goes through (0,0), b=0. Now we just need to find m.

This can be done via the formula

`m=\tan (\theta)`

In this case

`m=\tan (135)=-1`

And so, the equation of the line given is

`y=-x`

Now we simply need to see which of the options fit this equation. We can do this easily, because x and y are equal except for their sign.

As such, the point of the terminal side of 135° is (-1,1).