can someone help me with this?

Answer:
Step-by-step explanation:
Beatrice's conclusion is wrong
All of these points are not on the same line, because are different parallel lines
The slope between (-2,-1) and (1,0) is equal to 1/2
Answer:
Beatrice is incorrect. All of these points are not on the same line because the slope between (-2,-1) and (1,0) which are coordinates fr each of the pairs above, are equal to 1/2
Step-by-step explanation:
Let m1 be first slope
[tex]m1 \: = \frac{y2 - y1}{x2 - x1}= \frac{0 - ( - 2)}{4 - ( - 2)}= \frac{0 + 2}{4 + 2} \\ = \frac{2}{4} = \frac{1}{2} [/tex]
Let m2 be second slope
m2 = (y2 - y1)/ (x2 - x1)
= (2-(-1)) / (4-(-2)
= (2+1) / (4+2)
= 3/6 =1/2
Thus, the slopes are different parallel lines because m1 =m2