(4,-1713)

A mixed number is an addition of its whole and fractional parts.

(4,-(17+13))

Add 17 and 13.

To write 17 as a fraction with a common denominator, multiply by 33.

(4,-(17⋅33+13))

Combine 17 and 33.

(4,-(17⋅33+13))

Combine the numerators over the common denominator.

(4,-17⋅3+13)

Simplify the numerator.

Multiply 17 by 3.

(4,-51+13)

Add 51 and 1.

(4,-523)

(4,-523)

(4,-523)

(4,-523)

The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Quadrant 4

Find the Quadrant (4,-17 1/3)