Question

plot these three points on a coordinate plane or in desmos to determine if they are collinear (2,3) (3,2) (4,1) are these points collinear or noncollinear? ∘ collinear ∘ noncollinear

Explanation:

Step1: Find the slope between (2,3) and (3,2)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points (2,3) and (3,2), $m_1=\frac{2 - 3}{3 - 2}=\frac{-1}{1}=-1$.

Step2: Find the slope between (3,2) and (4,1)

Using the slope formula for points (3,2) and (4,1), $m_2=\frac{1 - 2}{4 - 3}=\frac{-1}{1}=-1$.

Step3: Compare the slopes

Since $m_1 = m_2=-1$, the three points lie on a straight line (collinear).

Answer:

collinear