Question

select a conjecture about the points. a(-1, -1), b(2, 2), c(4, 4)
points a, b, and c select choice collinear.

Explanation:

Step1: Calculate slope between two - point pairs

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
For points $A(-1,-1)$ and $B(2,2)$:
$m_{AB}=\frac{2-(-1)}{2-(-1)}=\frac{2 + 1}{2+1}=1$.
For points $B(2,2)$ and $C(4,4)$:
$m_{BC}=\frac{4 - 2}{4 - 2}=1$.

Step2: Analyze collinearity

Since $m_{AB}=m_{BC}=1$ and point $B$ is common to both line - segments $AB$ and $BC$, the points $A$, $B$, and $C$ are on the same straight line.

Answer:

are