How do you write an equation of a line with (2,3) ; (-1,4)?

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How do you write an equation of a line with (2,3) ; (-1,4)?

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Answer 1 · 2015-04-06T21:06:04

I would use the following relationship involving the coordinates of your two points:
#(x-x_2)/(x_2-x_1)=(y-y_2)/(y_2-y_1)#
So:
#(x-(-1))/(-1-2)=(y-4)/(4-3)#
Giving:
#y=-1/3x+11/3#

Try substituting the coordinates of your points to check it.

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How do you write an equation of a line with (2,3) ; (-1,4)?

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