Do the points in the following set lie on the same line ? Explain your answer. Show your work.
A.(1,3) B.(4,2) C.(-2,4)

Question

Do the points in the following set lie on the same line ? Explain your answer. Show your work. 
A.(1,3)     B.(4,2)       C.(-2,4)

mathmale · Answer

One way of doing this would be to find the equation of the actual line connecting points A and B.  Find the slope of that line using the slope formula, and then figure out the y-intercept. 

Next, take the x-coeff. (-2) of point C and subst. it into your equation of the line.  Does this equation correctly predict that y=4 when x=-2?  If yes, the 3 points are on the same line.  If not, they're not.

mrnood · Answer

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check the slope between the 2 pairs of points

if it is th esame then they are colinear