Answer
$r = \frac{4}{cos~\theta-sin~\theta}$
We can see the graph below:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6500e7e9-0317-4f7b-a4e2-ba092cbcf133/result_image/1529773919.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000832Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=8541a547e912f7d7a3fbdfe9188756fca60f9c5c2333ece7b6ce0c0d89815614)
Work Step by Step
$x-y = 4$
$r~cos~\theta-r~sin~\theta = 4$
$r = \frac{4}{cos~\theta-sin~\theta}$
We can see the graph below:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6500e7e9-0317-4f7b-a4e2-ba092cbcf133/steps_image/small_1529773919.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000832Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7f4ad6881daf5b64dc87607d0e6e151d9a6a52ef6636b5b6a6a1ef5b0cc1017e)
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