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Find the equation for the line that passes through (-1,-2) and (4,3). Is the point (3,1) in this line? Be sure to justify your answer.

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The equation of line that passes through (-1, -2) and (4, 3) is given as:


\begin{gathered} ((x-(-1)))/(4-(-1))=((y-(-2)))/(3-(-2)) \\ (x+1)/(5)=(y+2)/(5) \\ x+1=y+2 \\ x=y+1 \\ \end{gathered}

To check if the point (3, 1) passes through this line.


3\\e1+1

Hence the point does not lie on the line.

User Arandur
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