Ihave no idea what the answer is too this. it is geometry if you didn't know already. i'm really struggling here. if anybody could me out with the answer that would be great

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

i believe that the slope of the line is -5

step-by-step explanation: