Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure? (–4, –4), (–4, –1), (–1, –4), (–1, –1) (–2, –4), (–1, –1), (1, –1), (2, –4) (1, 1), (2, 4), (5, 4), (4, 1) (1, 4), (2, 1), (5, 1), (4, 4)

(1,4) (2,1) (5,1) (4,4)

Step-by-step explanation:

The options are:

(-4,-4) (-4,-1) (-1, -4) (-1,-1)

(-2,-4) (-1, -1) (1,-1) (2, -4)

(1,1) (2,4) (5, 4) ( 4,1)

(1,4) (2,1) (5,1) (4,4)

The only one which has two sides with negative slopes is the last one.

Slope of the side that passes through  (1,4) and (2,1): (4 - 1) / (1 - 2) = -3

Slope of the side that passes through  (4,4) and (5,1): (4 - 1) / (4 - 5) = -3