Cartesian form of polar equation r=8/{6cos θ + sin θ}

The cartesian form of the polar equation is:  

Step-by-step explanation:

Start by multiplying both sides of the equal sign by the denominator on the right, so we get rid of all denominators:

Now recall the relationships for the "x" and "y" cartesian variables:

So we use this identities to replace the polar coordinates in our equation, obtaining:

Which renders a line with slope -6 and y-intercept +8

after simplifying it i got: -36.25 as my answer. hope that !

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is