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love history [14]
4 years ago
5

Can some tell me the answer for 6a and b please!

Mathematics
1 answer:
Allushta [10]4 years ago
3 0
6a.
output y     differences
0
                          3
3
                          3
6
                          3
9
                          3
12
                          3
15
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Answer:

They are not co-linear.

Step-by-step explanation:

For three point's to be co linear the slopes of the lines connecting them should be same

Mathematically we can write for (x_{1},y_{1}),(x_{2},y_{2}),(x_{3},y_{3})

to be co-linear we should have

\frac{y_{3}-y_{2}}{x_{3}-x_{2}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{y_{3}-y_{1}}{x_{3}-x_{1}}

Applying the given values we obtain

\frac{y_{3}-y_{2}}{x_{3}-x_{2}}=\frac{8-6}{0-4}=-1/2\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{6-2}{4-3}=3\\\\\frac{y_{3}-y_{1}}{x_{3}-x_{1}}=\frac{8-2}{0-3}=-2

As we can see the values are not equal thus the points are not co-linear.

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