Question

the location of 4 houses is shown on the coordinate plane. consider a line - segment connecting felinas house to zaires house, and another line - segment connecting zaires house to bimas house. what is the relationship between the two line segments?

Explanation:

Step1: Find the slopes

To determine the relationship between two line - segments on a coordinate plane, we can find their slopes. Let's assume the coordinates of Felina's house are $(x_1,y_1)=(0,0)$, Zaire's house are $(x_2,y_2)=(9,4)$, and Bima's house are $(x_3,y_3)=(7,9)$.
The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$.
The slope of the line - segment connecting Felina's house to Zaire's house, $m_1=\frac{4 - 0}{9 - 0}=\frac{4}{9}$.
The slope of the line - segment connecting Zaire's house to Bima's house, $m_2=\frac{9 - 4}{7 - 9}=\frac{5}{-2}=-\frac{5}{2}$.
Since $m_1
eq m_2$ and $m_1\times m_2=\frac{4}{9}\times(-\frac{5}{2})=-\frac{10}{9}
eq - 1$, the two line - segments are neither parallel nor perpendicular.

Answer:

The two line - segments are neither parallel nor perpendicular.