What is the following linear function of a graph that contains the points of (0,0),(1,4),(2,1)?

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Answer 1 · 2017-12-19T16:56:09

The points do not lie along a straight line.

3 Points that lie along the same line are said to be "collinear" and collinear points must have the same slope between any pair of points.

I shall label the points #A, B, and C#

#A = (0,0),B = (1,4),C =(2,1)#

Consider the slope from point A to point B:

#m_"A-B"= (4-0)/(1-0) = 4#

Consider the slope from point to point C:

#m_"A-C" = (1-0)/(2-0) = 1/2#

If points A, B and C were collinear, then #m_"A-B"# would equal #m_"A-C"# but they are not equal, therefore, they are not collinear.