Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
