Question

Convert the polar equation to a rectangular equation. Then determine the graph's slope and y-intercept:
rsin(θ-π/4)=2

Answer 1

Two things you have to know for this problem:
1.
x= rcosθ
y= rsinθ
ultimately you want to get the equation in this shape!!
2.
Indentity: sin(a+b)= sin(a)cos(b)+cos(a)sin(b)--- Use this to open up the sin(θ-π/4). Because we have a minus θ-π/4 here we will have a minus sin(a)cos(b)-cos(a)sin(b) here.

Answer 2

so the answer is y=-x+2root2; slope=1; y-intercept is 2root2 but my chemistry teacher (who also teaches calculus and other math courses) got 2 and im confused.he did it they way you said

Answer 3

yeah, i got 2root2 too, hahah. the slope is 1, not -x!
He probably made a mistake somewhere, or we did

Answer 4

nope im sorry i was wrong my friend just texted me and it turns out my teacher used pi/2 instead of pi/4!

Answer 5

hahaha, does help to have the right question :)