Question

graph the points (0,0), (-5,1), (6,2) and state whether they are collinear. use the graphing tool to plot the given points. the points (0,0), (-5,1), and (6,2) are collinear non - collinear

Explanation:

Step1: Calculate slope between (0,0) and (-5,1)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(-5,1)$. Then $m_1=\frac{1 - 0}{-5 - 0}=-\frac{1}{5}$.

Step2: Calculate slope between (0,0) and (6,2)

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(6,2)$. Then $m_2=\frac{2 - 0}{6 - 0}=\frac{1}{3}$.

Step3: Compare slopes

Since $m_1=-\frac{1}{5}$ and $m_2=\frac{1}{3}$, and $m_1
eq m_2$.

Answer:

noncollinear