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topjm [15]
3 years ago
14

Determine whether the three points are collinear. (0, - 10). (-3,- 13), (2,-8)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

<h2>YES. These points are collinear.</h2>

Step-by-step explanation:

If three points are collinear, then the slopes are the same.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

For (0, -10) and (-3, -13):

m=\dfrac{-13-(-10)}{-3-0}=\dfrac{-13+10}{-3}=\dfrac{-3}{-3}=1

For (-3, -13) and (2, -8):

m=\dfrac{-8-(-13)}{2-(-3)}=\dfrac{-8+13}{2+3}=\dfrac{5}{5}=1

We can check the last pair (0, -10) and (2, -8):

m=\dfrac{-8-(-10)}{2-0}=\dfrac{-8+10}{2}=\dfrac{2}{2}=1

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