Question

These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False

Answer 1

False

Explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

=(-4-(-9))/(0-(-2))

=5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

=(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)