Question

The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure).

{(0,−5),(6,−4),(5,0),(−1,−1)}
Step 1 of 3 : Find the slopes of the indicated sides of the quadrilateral. Simplify your answer.

Answer 1

Explanation:

To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

slope = (y2 - y1) / (x2 - x1)

Using this formula for the given set of ordered pairs, we get:

The slope of the line passing through (0,-5) and (6,-4):

slope = (-4 - (-5)) / (6 - 0) = 1/6

The slope of the line passing through (6,-4) and (5,0):

slope = (0 - (-4)) / (5 - 6) = 4

The slope of the line passing through (5,0) and (-1,-1):

slope = (-1 - 0) / (-1 - 5) = -1/2

The slope of the line passing through (-1,-1) and (0,-5):

slope = (-5 - (-1)) / (0 - (-1)) = -4

So the slopes of the four sides of the quadrilateral are:

1/6, 4, -1/2, and -4.