Question

click on the graph to plot a point. click a point to delete it. find the desired slopes and lengths, then fill in the words that best identifies the type of quadrilateral. answer attempt 1 out of 2 slope of $overline{no}=square$ length of $overline{no}=2sqrt{13}$ slope of $overline{op}=\frac{5}{6}$ length of $overline{op}=sqrt{61}$ slope of $overline{pq}=square$ length of $overline{pq}=sqrt{41}$ slope of $overline{qn}=square$ length of $overline{qn}=2sqrt{13}$ quadrilateral nopq can best be described as a rhombus

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Assume coordinates of points

Since the problem doesn't provide coordinates, assume $N(x_1,y_1)$, $O(x_2,y_2)$, $P(x_3,y_3)$, $Q(x_4,y_4)$. For slope of $\overline{NO}$, if $N(x_1,y_1)$ and $O(x_2,y_2)$, then $m_{NO}=\frac{y_2 - y_1}{x_2 - x_1}$. For slope of $\overline{PQ}$, if $P(x_3,y_3)$ and $Q(x_4,y_4)$, then $m_{PQ}=\frac{y_4 - y_3}{x_4 - x_3}$. For slope of $\overline{QN}$, if $Q(x_4,y_4)$ and $N(x_1,y_1)$, then $m_{QN}=\frac{y_1 - y_4}{x_1 - x_4}$.
However, since no coordinates are given in the problem - statement, we can't calculate the exact numerical values of the slopes. But we know the general method.

Answer:

slope of $\overline{NO}$: Can't be determined without coordinates
slope of $\overline{PQ}$: Can't be determined without coordinates
slope of $\overline{QN}$: Can't be determined without coordinates