Chapter 6.2, Problem 62SR

To determine

Determine whether each segment is a side or diagonal of the quadrilateral, and find the slope of each segment $\overline{ZW}$

Answer to Problem 62SR

  $\overline{ZW}$ is side and its slope is $-\frac{1}{6}$ .

Explanation of Solution

Given:

The vertices of a quadrilateral are $W(3,-1),X(4,2),Y(-2,3)$ and $Z(-3,0).$

Formula Used:

The slope of a segment joining points $(x_1,y_1)\text{ and }(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation:

Draw the quadrilateral WXYZ :

The segment $\overline{ZW}$ is side of quadrilateral WXYZ.

Now, slope of segment $\overline{ZW}$ joining $Z(-3,0).$ and $W(3,-1)$ is $\frac{-1-0}{3-(-3)}=\frac{-1}{6}=-\frac{1}{6}$ .