How do you write the equation for the line containing the points (3, 2) and (–2, 4)?

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Answer 1 · 2014-11-04T16:22:23

Let #(x_1,y_1)=(3,2)# and #(x_2,y_2)=(-2,4)#.

By Slope Formula,

#m={y_2-y_1}/{x_2-x_1}={4-2}/{-2-3}=-2/5#

By Point-Slope Form #y-y_1=m(x-x_1)#,

#y-2=-2/5(x-3)#,

which is the equation of the line passing through both points.

I hope that this was helpful.