Question

plot the three points on the given coordinate plane. state whether the three points you plotted are collinear (on the same line). (4, -4), (-2, -2), (-1, -3)

Explanation:

Step1: Calculate slope between first two points

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(4,-4)$ and $(x_2,y_2)=(-2,-2)$. Then $m_1=\frac{-2-(-4)}{-2 - 4}=\frac{-2 + 4}{-6}=\frac{2}{-6}=-\frac{1}{3}$.

Step2: Calculate slope between second and third points

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

Step3: Compare slopes

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

Answer:

The three points are not collinear.