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: Identify coordinates

Felina's house: $(0,0)$; Zaire's house: $(8,4)$; Bima's house: $(7,9)$.

Step2: Calculate slope of Felina - Zaire line

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. For Felina $(x_1,y_1)=(0,0)$ and Zaire $(x_2,y_2)=(8,4)$, so $m_1=\frac{4 - 0}{8 - 0}=\frac{4}{8}=\frac{1}{2}$.

Step3: Calculate slope of Zaire - Bima line

For Zaire $(x_1,y_1)=(8,4)$ and Bima $(x_2,y_2)=(7,9)$, $m_2=\frac{9 - 4}{7 - 8}=\frac{5}{-1}=- 5$.

Step4: Analyze the slopes

Since $m_1\times m_2=\frac{1}{2}\times(-5)=-\frac{5}{2}
eq - 1$, the lines are not perpendicular. And $m_1
eq m_2$, the lines are not parallel.

Answer:

The two line - segments are neither parallel nor perpendicular.