Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;
We complete the square to obtain;
This is a circle with center;
This implies that;
When the circle is rotated through an angle of 
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;
The equation of the rotated circle is;
Expand;
Multiply through by 4; to get
Write in general form;
Divide through by 2.
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Hello!
First, you will need to subtract -2 from 4 (4-(-2)). You'll need to do this because to find the slope, you'll need to subtract y² w/ y1 or 4-(-2) and divide it by x² - x1 or -1-(-3). So once you set up the equation it'll look like this...
4-(-2)/-1-(-3)
Now after you've subtracted the numbers, your equation will look like this...
6/2
You'll then divide 6 by 2 and your slope will be 3
I hope this helps!
The Answer is C (which is 8)
