determine the slope of two consecutive sides are parallel, perpendicular or neither (-1,2) (4,4) (2,-1) (-3,-3)

Answer: parallel

Step-by-step explanation:

Given the following coordinate

(-1,2) (4,4) and (2,-1) (-3,-3)

Two parallel lines will surely have the same slope. While the product of the two perpendicular lines will be equal to negative one.

Let's find the slope of the coordinate.

Slope m can be expressed as

M = (Y2 - Y1) / (X2 - X1)

For coordinate (-1,2) (4,4)

Slope m = (4 - 2) / (4 + 1)

Slope m = 2/5

For coordinate (2,-1) (-3,-3)

Slope m = (-3 + 1) / (-3 - 2)

Slope m = - 2 / - 5

Slope m = 2/5

Since the two slope are the same, we can conclude that the two lines are parallel to each other.